Publications

1. Mbarki Lamine, M. A. Ragusa and J. Vanterler da C. Sousa. Concave-convex equations in Nehari manifold, Journal fur die reine und angewandte Mathematik.

2. Priscila S. Ramos, J. Vanterler da C. Sousa and E. Capelas de Oliveira. Controllability of fractional impulsive integro-differential control system. Palestine J.  Math.

3. J. Vanterler da C. Sousa, M. Benchohra and Gastão Frederico. Fractional diffusive logistic equation in $\mathcal{H}_{0}^{\widetilde{\sigma },p}$, Reviews in Mathematical Physics

4. Nemat Nyamoradi and J. Vanterler da C. Sousa. Hardy-Type $p$-Laplacian fractional differential equations. Math. Meth. Appl. Sci.

5. J. Vanterler da C. Sousa, Junior Soares, Felix Costa, Edmundo Capelas de Oliveira. Resonance fractional problem and Fucik spectrum. Palestine J. Math.

6. J. Vanterler da C. Sousa, Felix S. Costa and Leandro S. Tavares. Singular equation with the $r(x)$-Laplace equations. Numer. Funct. Anal. Opt.

7. J. Vanterler da C. Sousa. Global attractivity in $\psi$-Hilfer differential equations. Methods and Applications of Analysis.

8. J. Vanterler da C. Sousa, Kishor Kucche and Hari M. Srivastava, Some Fractional-Order $(p,q)$-Laplacian Systems of Equations, Appl. Anal. Disc. Math.

9. J. Vanterler da C. Sousa, J. Soares and Felix S. Costa, An ecological fractional model with $p$-Kirchhoff-type problem, Diff. Equ. Dyn. Sys.

10. M. R. Lemnaouar, Y. Louartassi, R. Zine and J. Vanterler da C. Sousa. A New Generalized Truncated $K$-series Fractional Derivative. The Rocky Mountain J. Math.          

11. Jinxia Cen, J. Vanterler da C. Sousa and F. S. Costa. Existence and nonexistence of positive solutions for fractional $p$-Logistic equation. Mathematische Nachrichten.

12. Bruno, Kleiton, José and Carrer. Memory-effficient implementation of the Heat semi-group (HSG) integral solution for the fractional screened Poisson equation on bounded domains. Numerische Mathematik.

13. Sivalingam S. M.,  V. Govindaraj and J. Vanterler da C. Sousa. A novel $L1$-Predictor-Corretor method for the numerical solution of the $\psi$-Caputo type fractional differential equations Fractional Calculus and Applied Analysis.

14. Rafik Guefaifia, Tahar Bouali, J. Vanterler da C. Sousa. Fractional Laplacian elliptic systems of type Kirchhoff with one parameter. Annales Academiæ Scientiarum Fennicae Series.

15. Jinxcen, J. Vanterler da C. Sousa and Shengda. Double phase Dirichlet fractional differential equations. Bull. Sci. Math.

16. Gastão S. F. Frederico, J. Vanterler da C. Sousa, D. S. Oliveira and Felix S. Costa. A Formulation of Noether’s Theorem for Pseudo-Problems of the Calculus of Variations. J. Franklin Institute.

17. J. Vanterler da C. Sousa, Lamine Mbarki and Leandro S. Tavares. On the Narrow Region Principle and the Moving Planes Method for Fractional Laplacian Equations. Annales Fennici Mathematici.

18. Abdelati, Lamine, Youssef and J. Vanterler da C. Sousa - Solvability of Langevin fractional differential equation of higher-Order. J. Appl. Anal. Comput.

19. J. Vanterler da C. Sousa, Junior Soares and Felix S. Costa. Radial symmetry of the eigenfunction for the  fractional $p$-Laplacian equation. Collectanea Mathematica.

20. Abdelhakim Sahbani and J. Vanterler C. Sousa. Infinitely of solutions for fractional $\kappa(\xi)$-Kirchhoff equation in $\mathcal{H}(\Lambda)$. Math. Meth. Appl. Sci.

21. J. Vanterler da C. Sousa and Rafik Guefaifia, Tahar Bouali. Fractional Laplacian elliptic systems with Multiple parameters. Analysis Mathematica.

22. J. Vanterler da C. Sousa. Existence of weak solutions for double phase fractional problems with variable exponents. Inverse Problems.

23. Junior C. A. Soares, Felix S. Costa, J. Vanterler C. Sousa and Maria Sousa and Amalia Pereira. Lie symmetry analysis for fractional evolution equation with $\psi$-Riemann-Liouville derivative. Comput. Math. Appl.

24. J. Vanterler da C. Sousa, Kishor Kucche and V. Govindaraj. Fractional Kirchhoff type equations involving Neumann conditions. Math. Meth. Appli. Sci.

25. J. Vanterler da C. Sousa. Comments on the truncation in fractional $\mu$-Sobolev-Slobodetskii space $\mathcal{H}^{\alpha/2}_{\mu(\xi_{1})}(\Lambda)$. Proc. Amer. Math. Soc.

26. Junior C. A. Soares, Felix S. Costa and J. Vanterler C. Sousa. Lie symmetry analysis for fractional differential equations in the $\psi$-Caputo variable order sense and applications.

27. Ana Carolina, Felix S. Costa, J. Vanterler da C. Sousa, Junior Soares. The point symmetry space-fractional porous medium equation in terms the Riesz-fractional derivative. 

Papers - Post-review

28. Asmat Batool, J. Vanterler da C. Sousa and Mbarki Lamine. Existence results for fractional derivative differential equations involving Caputo fractional order derivatives. Boundary Value Problems

29. F. S. Costa, Junior Soares, J. Vanterler da C. Sousa, Gastão Frederico, G. S. Araujo. Infinitesimal prolongation of the $\psi$-Hilfer derivative. Bulletin des Sciences Mathématiques.

30. J. Vanterler da C. Sousa. On the fractional pseudo-parabolic $p(\xi)$-Laplacian equation. Bull. Sci. Math.

1. SOUSA, J. VANTERLER C.; Pigossi, M. ; NYAMORADI, N. . On the existence and multiplicity results for the fractional differential equations with $p$-Laplacian equation at resonance in H. Electronic J. Diff. Equ., 2024.

2. TALIB, I. ; BATOOL, A. ; Sousa, J Vanterler da C ; LAMINE, M. . Existence results for fractional derivative differential equations involving Caputo fractional order derivatives. Boundary Value Problems, 2024.

3. Sousa, J. Vanterler da C; KUCCHE, K. D. ; NIETO, J. J. . Existence and multiplicity of solutions for fractional p(x)-Kirchhoff-type equation. Qual.. Theory Dyn. Sys., 2024.

4. CEN, J. ; Sousa, J. Vanterler da C ; WU, W. . Fractional partial differential variational inequality. Commun. Nonlinear Sci. Numer. Simul., 2024.

5. Sousa, J Vanterler da C; OLIVEIRA, D. S. ; TAVARES, LEANDRO S. . Solutions of the mean curvature equation with the Nehari manifold. Comput. Appl. Math., 2024.

6. SOUSA, J. Vanterler da C; ARAUJO, G. S. ; SOUSA, M. V. S. ; PEREIRA, A. R. E. . Multiplicity of solutions for fractional p(x)-Laplacian equations. J. Appl. Anal. Comput., 2024.

7. Sousa, J. Vanterler da C. Existence of nontrivial solutions to fractional Kirchhoff double phase problems. Comput. Appl. Math., 2024.

8. SOUSA, J. Vanterler da C.. Resonance for k-Laplacian and asymmetric nonlinearities. J. Appl. Anal. Comput., 2024.

9. SOUSA, J. Vanterler da C; NYAMORADI, N. ; FREDERICO, GASTÃO S. F. . p-Laplacian Type Equations Via Mountain Pass Theorem in Cerami Sense. Qual. Theory Dyn. Sys., 2024.

10. BARRETO, M. N. F. ; FREDERICO, G. S. F. ; Sousa, J Vanterler da C ; VALDES, J. E. N. . CALCULUS OF VARIATIONS AND OPTIMAL CONTROL WITH GENERALIZED DERIVATIVE. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023.

11. Sousa, J. Vanterler da C. Fractional Kirchhoff-type systems via sub-supersolutions method in $$mathbb {H}^{alpha ,eta ;psi }_{p}(Omega )$$. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (TESTO STAMPATO), 2023.

12. Frederico, G. S. F. ; Lazo, M. J. ; Barreto, M. N. F. ; Sousa, J. Vanterler da C . Higher-Order Noether’s Theorem for Isoperimetric Variational Problems. J. Optmi. Theory Appl., 2023.

13. Sousa, J. Vanterler da C; OLIVEIRA, D. S. ; AGARWAL, R. P. . Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold. Appl. Anal. Disc. Math., 2023.

14. SOUSA, J. Vanterler da C.. Fractional Kirchhoff-Type and Method of Sub-supersolutions. Diff. Equ. Dyn. Syst., 2023.

15. Lamine, M. ; Tavares, L. S. ; Sousa, J. Vanterler da C . Solutions for a Nonlocal Elliptic System with General Growth. Complex Analysis and Operator Theory, 2023.

16. Sousa, J Vanterler da C; Lamine, M. ; Tavares, L. S. . Generalized Telegraph equation with fractional p(x)-Laplacian. Minimax Theory and its Appl., 2023.

17. Sousa, J Vanterler da C; Pulido, M. A. P. ; Govindaraj, Venkatesan; Capelas de Oliveira, E . On the $$arepsilon $$-regular mild solution for fractional abstract integro-differential equations. Soft Comput., 2023.

18. Costa, F. S. ; Soares; Frederico G. S. F. ; Sousa, J. Vanterler da C ; JAROSZ, S. . Complete infinitesimal prolongation of the Riemann&;Liouville and Caputo derivatives. Reviews in Math. Phys, 2023.

19.  Marta Aurora Pulido, J. Vanterler da C. Sousa and E. Capelas de Oliveira. New discretization of $\psi$-Caputo fractional derivative and applications, Math. Comput. Simul. (2023)

20. Ricardo Almeida, Nat\'{a}lia Martins and J. Vanterler da C. Sousa. Fractional tempered differential equations depending on arbitrary kernels. AIMS Mathematics

21. Nemat Nyamoradi and J. Vanterler da C. Sousa. Fractional Euclidean bosonic equation via variational. Journal of Pseudo-Differential Operators and Applications.

1. Sousa, J. Vanterler da C.; GOMES, D. F. ; Capelas de Oliveira, E . A new class of mild and strong solutions of integrodifferential equations of arbitrary order in Banach space. PALESTINE JOURNAL OF MATHEMATICS, v. 12, p. 111-124, 2023.

2. ZUO, J. ; KHACHNAOUI, K. ; Sousa, J. Vanterler da C. Ground state solutions for electromagnetic Schrödinger equations on unbounded domains. Communications in Nonlinear Science and Numerical Simulation, v. 118, p. 107033, 2023.

3. Sousa, J. Vanterler da C.; GALA, S. ; Capelas de Oliveira, E . On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in L^{N}. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 42, p. 41, 2023.

4. Sousa, J. Vanterler da C.; OLIVEIRA, D. S. ; FREDERICO, G. S. F. ; TORRES, D. . Existence, uniqueness, and controllability for Hilfer differential equations on times scales. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, p. 1-24, 2023.

5. LEDESMA, CÉSAR T. ; RODRÍGUEZ, JESÚS A. ; Sousa, J. Vanterler da C. Differential equations with fractional derivatives with fixed memory length. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (TESTO STAMPATO), v. 72, p. 635-653, 2023.

6. Sousa, J. Vanterler da C.; FREDERICO, GASTÃO S. F. ; OLIVEIRA, DANIELA S. ; CAPELAS DE OLIVEIRA, EDMUNDO . Properties of fractional calculus with respect to a function and Bernstein type polynomials. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 46, p. 930-960, 2023.

7. FERES JUNIOR, J. ; Sousa, J. Vanterler da C.; Capelas de Oliveira, E . The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator. DIFFERENTIAL EQUATIONS & APPLICATIONS, v. 15, p. 91-112, 2023.

8. TAVARES, L. S. ; Sousa, J. Vanterler da C.. Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique. Opuscula Mathematica, v. 43, p. 603-613, 2023.

9. Sousa, J. Vanterler da C.; LIMA, K. K. B. ; TAVARES, L. S. . Existence of Solutions for a Singular Double Phase Problem Involving a Hilfer Fractional Operator Via Nehari Manifold. Qualitative Theory of Dynamical Systems, v. 22, p. 94, 2023.

10. Sousa, J Vanterler da C. Fractional p-Laplacian equations with sandwich pairs. Fractal And Fractional, v. 7, p. 419-429, 2023.

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11. RAMOS, PRISCILA SANTOS ; Sousa, J. Vanterler da C. ; DE OLIVEIRA, E. CAPELAS . Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations. Evolution Equations and Control Theory, v. 11, p. 1-24, 2022.

12. SOUSA, J. Vanterler da C.. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN IN $ mathbb{H}^{ u,eta;psi}_{p}$. Journal of Applied Analysis and Computation, v. 12, p. 622-661, 2022.

13. VELLAPPANDI, M. ; GOVINDARAJ, VENKATESAN ; VANTERLER DA C. SOUSA, JOSÉ . Fractional optimal reachability problems with ψ ¿Hilfer fractional derivative. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 45, p. 6255-6267, 2022.

14. OLIVEIRA, D. S. ; SOUSA, J. Vanterler da C. ; FREDERICO, GASTÃO S. F. . Pseudo-fractional operators of variable order and applications. SOFT COMPUTING, v. 26, p. 4587-4605, 2022.

15. TORRES LEDESMA, CÉSAR E. ; SOUSA, JOSÉ VANTERLER DA C. . Fractional integration by parts and Sobolev¿type inequalities for ψ$$ psi $$¿fractional operators. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 45, p. 9945-9966, 2022.

16. SOUSA, J. Vanterler da C.; ABDELJAWAD, THABET ; OLIVEIRA, D. S. . Mild and classical solutions for fractional evolution differential equation. PALESTINE JOURNAL OF MATHEMATICS, v. 11, p. 229-242, 2022.

17. SOUSA, J. Vanterler da C.; LEDESMA, CÉSAR T. ; PIGOSSI, MARIANE ; ZUO, JIABIN . Nehari Manifold for Weighted Singular Fractional p-Laplace Equations. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, p. 1245-1275, 2022.

18. SOUSA, J. Vanterler da C.; N?GUEREKATA, GASTON M. . Stepanov type µ -pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations. Nonautonomous Dynamical Systems, v. 9, p. 145-162, 2022.

19. TAVARES, LEANDRO S. ; SOUSA, J. VANTERLER C. . Existence of solutions for a quasilinear problem with fast nonlocal terms. Applicable Analysis, p. 1-7, 2022.

20. SRIVASTAVA, HARI M. ; DA COSTA SOUSA, JOSE VANTERLER . Multiplicity of Solutions for Fractional-Order Differential Equations via the κ(x)-Laplacian Operator and the Genus Theory. Fractal And Fractional, v. 6, p. 481, 2022.

21. SOUSA, J. Vanterler da C; NYAMORADI, N. ; LAMINE, M. . Nehari manifold and fractional Dirichlet boundary value problem. Analysis And Mathematical Physics, v. 12, p. 143-154, 2022.

22. JAROSZ, S. ; COSTA, F. S. ; SOUSA, J. Vanterler da C. ; SOARES, J. C. A. . Integral Transforms of the Hilfer-Type Fractional Derivatives. Asian Research Journal of Mathematics, v. 18, p. 57-74, 2022.

23. SHIKHARE, P. U. ; KUCCHE, K. D. ; SOUSA, J. Vanterler da C. . On the nonlinear impulsive Volterra-Fredholm integro differential equations. International Journal Of Nonlinear Analysis And Applications, v. 13, p. 523-537, 2022.

24. SOUSA, J. VANTERLER C.. Variational approach for 𝜓-Hilfer fractional operator. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 22, p. 153-161, 2022.

25. FÉRES JUNIOR, JORGE ; SOUSA, JOSÉ VANTERLER DA COSTA ; OLIVEIRA, EDMUNDO CAPELAS DE . The e-positive mild solutions for fractional impulsive evolution equations with 1<α<2. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 22, p. 119-134, 2022.

26. LEDESMA, CÉSAR E. TORRES ; SOUSA, J. Vanterler da C. ; CRUZ, AMADO M. . Weighted Hardy-Littlewood-Sobolev-type inequality for ψ-Riemann-Liouville fractional integrals. ILLINOIS JOURNAL OF MATHEMATICS, v. -1, p. 13-32, 2022.

27. DIOP, AMADOU ; FREDERICO, GASTÃO S. F. ; SOUSA, J. Vanterler da C. . On controllability for a class of multi-term time-fractional random differential equations with state-dependent delay. Annals of Functional Analysis, v. 13, p. 20, 2022.

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28. SOUSA, J. Vanterler da C.; TAVARES, L. S. ; Capelas de Oliveira, E . Existence and uniqueness of mild and strong solutions for fractional evolution equation. PALESTINE JOURNAL OF MATHEMATICS, v. 10, p. 592-600, 2021.

29. SOUSA, J. Vanterler da C.; PULIDO, M. A. P. ; Capelas de Oliveira, E . Existence and Regularity of Weak Solutions for $$psi $$-Hilfer Fractional Boundary Value Problem. Mediterranean Journal of Mathematics, v. 18, p. 1-15, 2021.

30.  SOUSA, J. Vanterler da C.; ZUO, J. ; OREGAN, D. . The Nehari manifold for a $\psi$-Hilfer fractional $p$-Laplacian. APPLICABLE ANALYSIS, v. 100, p. 1-23, 2021.

31. BALEANU, D. ; SAADATI, R. ; SOUSA, J. Vanterler da C. . The stability of the fractional Volterra integro¿differential equation by means of Ψ¿Hilfer operator revisited. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 46, p. 1-8, 2021.

32. SOUSA, J. Vanterler da C.. Nehari manifold and bifurcation for a ψ-Hilfer fractional p-Laplacian. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 44, p. 1-14, 2021.

33. SOUSA, J. Vanterler da C.; SANTOS, M. N. N. ; COSTA, E. ; MAGNA, L. A. ; Capelas de Oliveira, E . A new approach to the validation of an ESR fractional model. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 40, p. 1-20, 2021.

34. SOUSA, J. Vanterler da C.; FEč ; DE OLIVEIRA, E. CAPELAS . Faedo-Galerkin approximation of mild solutions of fractional functional differential equations. Nonautonomous Dynamical Systems, v. 8, p. 1-17, 2021.

35. FREDERICO, G. ; SOUSA, J. Vanterler da C. ; ALMEIDA, R. . Composition functionals in higher order calculus of variations and Noether's theorem. Applicable Analysis, p. 1-18, 2021.

36. SOUSA, J. Vanterler da C.; OLIVEIRA, D. S. ; Capelas de Oliveira, E . A note on the mild solutions of Hilfer impulsive fractional differential equations. CHAOS SOLITONS & FRACTALS, v. 147, p. 110944, 2021.

37. Sousa, J Vanterler da C; TAVARES, L. S. ; LEDESMA, C. E. T. . A VARIATIONAL APPROACH FOR A PROBLEM INVOLVING A ψ-HILFER FRACTIONAL OPERATOR. Journal of Applied Analysis and Computation, v. 11, p. 1610-1630, 2021.

38. MALI, A. D. ; KUCCHE, K. D. ; Sousa, J Vanterler da C . On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations. International Journal of Nonlinear Sciences and Numerical Simulation, v. 23, p. 1-26, 2021.

39. SOUSA, J. Vanterler da C.; KUCCHE, KISHOR D. . Existence, uniqueness and stability of fractional impulsive functional differential inclusions. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 15, p. 1-19, 2021.

40. SOUSA, J. Vanterler da C.; VELLAPPANI, M. ; GOVINDARAJ, V. ; FREDERICO, G. . Reachability of fractional dynamical systems using \psi-Hilfer pseudo-fractional derivative. JOURNAL OF MATHEMATICAL PHYSICS, v. 62, p. 082703, 2021.

41. Sousa, J Vanterler da C.; CAMARGO, R. F. ; Capelas de Oliveira, E ; FREDERICO, G. . Pseudo-fractional differential equations and generalized $g$-Laplace transform. Journal of Pseudo-Differential Operators and Applications, v. 12, p. 1-27, 2021.

42. FREDERICO, GASTÃO S. F. ; SOUSA, J. Vanterler da C. ; BABAKHANI, A. . Existence and uniqueness of global solution for a Cauchy problem and g-variational calculus. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 40, p. 1-13, 2021.

43. LEDESMA, C. E. T. ; BACA, J. V. ; SOUSA, J. Vanterler da C. . Properties of fractional operators with fixed memory length. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 45, p. 1-26, 2021.

44. BU, WEICHUN ; AN, TIANQING ; SOUSA, JOSÉ VANTELER DA C. ; YUN, YONGZHEN . Infinitely Many Solutions for Fractional p-Laplacian Schrödinger-Kirchhoff Type Equations with Symmetric Variable-Order. Symmetry-Basel, v. 13, p. 1393, 2021.

45. TAVARES, L. S. ; Sousa, J Vanterler da C . Multiplicity results for a system involving the p(x)- Laplacian operator. APPLICABLE ANALYSIS, v. 100, p. 1-10, 2021.

46. LIMA, K. K. B. ; SOUSA, J. Vanterler da C. ; Capelas de Oliveira, E . Ulam-Hyers type stability for $$psi $$-Hilfer fractional differential equations with impulses and delay. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 40, p. 1-20, 2021.

47. SOUSA, J. Vanterler da C.; KUCCHE, K. D. ; OLIVEIRA, E. C. . Stability of mild solutions of the fractional nonlinear abstract Cauchy problem. Electronic Research Archive, v. 30, p. 272-288, 2021.

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48. SHIKHARE, PALLAVI U. ; KUCCHE, KISHOR D. ; DA C. SOUSA, J. VANTERLER . Analysis of Volterra integrodifferential equations with nonlocal and boundary conditions via Picard operator. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 39, p. 208, 2020.

49. SOUSA, J. Vanterler da C.; MACHADO, J. A. TENREIRO ; DE OLIVEIRA, E. CAPELAS . The $$psi $$-Hilfer fractional calculus of variable order and its applications. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 39, p. 296, 2020.

50. SOUSA, J. Vanterler da C.; FREDERICO, GASTÃO S. F. ; DE OLIVEIRA, E. CAPELAS . $$psi $$-Hilfer pseudo-fractional operator: new results about fractional calculus. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 39, p. 254, 2020.

51. KUCCHE, KISHOR D. ; KHARADE, JYOTI P. ; SOUSA, J. Vanterler da C. . ON THE NONLINEAR IMPULSIVE Ψ-HILFER FRACTIONAL DIFFERENTIAL EQUATIONS. Mathematical Modelling and Analysis, v. 25, p. 642-660, 2020.

52. SOUSA, J. Vanterler da C.; BENCHOHRA, MOUFFAK ; N?GUÉRÉKATA, GASTON M. . Attractivity for differential equations of fractional order and ψ-Hilfer type. Fractional Calculus and Applied Analysis, v. 23, p. 1188-1207, 2020.

53. SOUSA, J. Vanterler da C.; JARAD, FAHD ; ABDELJAWAD, THABET . Existence of mild solutions to Hilfer fractional evolution equations in Banach space. Annals of Functional Analysis, v. 12, p. 12, 2020.

54. Vanterler da C. Sousa, J. ; CAPELAS DE OLIVEIRA, E. ; G. RODRIGUES, F.  Ulam-Hyers stabilities of fractional functional differential equations. AIMS Mathematics, v. 5, p. 1346-1358, 2020.

55. VANTERLER DA COSTA SOUSA, JOSÉ. Existence results and continuity dependence of solutions for fractional equations. DIFFERENTIAL EQUATIONS & APPLICATIONS, v. 12, p. 377-396, 2020.

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56. Vanterler da C. Sousa, J.; Capelas de Oliveira, E . A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator. DIFFERENTIAL EQUATIONS & APPLICATIONS, v. 11, p. 87-106, 2019.

57. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. . On the $$Psi $$ Ψ -fractional integral and applications. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 38, p. 4-26, 2019.

58. SOUSA, JOSÉ VANTERLER DA C.; KUCCHE, KISHOR D. ; CAPELAS DE OLIVEIRA, EDMUNDO . On the Ulam-Hyers stabilities of the solutions of Ψ-Hilfer fractional differential equation with abstract Volterra operator. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 42, p. 1-12, 2019.

59. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. ; KUCCHE, KISHOR D. . On the fractional functional differential equation with abstract Volterra operator. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 49, p. 1-20, 2019.

60. Kuchhe, Kishor D. ; Mali, Ashwini D. ; SOUSA, J. Vanterler da C. . On the nonlinear Ψ-Hilfer fractional differential equations. COMPUTATIONAL AND APPLIED MATHEMATICS, v. 38, p. 73-98, 2019.

61. SOUSA, JOSÉ VANTERLER DA C.; RODRIGUES, FABIO G. ; CAPELAS DE OLIVEIRA, EDMUNDO . Stability of the fractional Volterra integro-differential equation by means of -Hilfer operator. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 42, p. 1-11, 2019.

62. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. . Leibniz type rule: ψ-Hilfer fractional operator. Communications in Nonlinear Science and Numerical Simulation, v. 77, p. 305-311, 2019.

63. SOUSA, J. Vanterler da C.; OLIVEIRA, D. S. ; DE OLIVEIRA, E. CAPELAS . Grüss-Type Inequalities by Means of Generalized Fractional Integrals. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 50, p. 1-19, 2019.

64. SOUSA, J. Vanterler da C.; DE OLIVEIRA, E. CAPELAS . On the Stability of a Hyperbolic Fractional Partial Differential Equation. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, v. 12, p. 1-22, 2019.

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65.  Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. . On the ψ -Hilfer fractional derivative. Communications in Nonlinear Science and Numerical Simulation, v. 60, p. 72-91, 2018.

66. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. . Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation. APPLIED MATHEMATICS LETTERS, v. 81, p. 50-56, 2018.

67. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. . The Minkowski’s inequality by means of a generalized fractional integral. AIMS Mathematics, v. 3, p. 131-147, 2018.

68. Vanterler da C. Sousa, J.; Capelas de Oliveira, E . A new truncated M-fractional derivative type unifying some fractional derivatives types with classicasl properties. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, v. 16, p. 83-96, 2018.

69. SOUSA, J. Vanterler da C.; Capelas de Oliveira, E . Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, p. 1-20, 2018.

70. SOUSA, J. Vanterler da C.; DE OLIVEIRA, E. CAPELAS . On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the $$psi $$ψ-Hilfer operator. Journal of Fixed Point Theory and Applications, v. 20, p. 96, 2018.

71. Vanterler da C. Sousa, J.; Capelas de Oliveira, E . A truncated \mathcal{V}-fractional derivative in \mathbb{R}^n. Turkish Journal of Mathematics & Computer Science, v. 8, p. 49-64, 2018.

72. DE OLIVEIRA, E. CAPELAS ; SOUSA, J. Vanterler da C. . Ulam-Hyers-Rassias Stability for a Class of Fractional Integro-Differential Equations. Results in Mathematics, v. 73, p. 111, 2018.

73. DA C. SOUSA, J. VANTERLER; DOS SANTOS, MAGUN N. N. ; MAGNA, L. A. ; DE OLIVEIRA, E. CAPELAS . Validation of a fractional model for erythrocyte sedimentation rate. COMPUTATIONAL & APPLIED MATHEMATICS, v. 6, p. 1-17, 2018.

74. SOUSA, JOSÉ VANTERLER DA COSTA; OLIVEIRA, DANIELA DOS SANTOS ; CAPELAS DE OLIVEIRA, EDMUNDO . On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 41, p. 1-13, 2018.

75. DA C. SOUSA, J. VANTERLER; KUCCHE, KISHOR D. ; DE OLIVEIRA, E. CAPELAS . Stability of Hilfer impulsive fractional differential equations. Appl. Math. Lett., v. 88, p. 73-80, 2018.

76. SOUSA, JOSÉ VANTERLER DA COSTA; OLIVEIRA, EDMUNDO CAPELAS DE . Truncated V-fractional Taylor's Formula with Applications. Tend. Math. Appl. Comput., v. 19, p. 525-546, 2018.

77. SOUSA, J. Vanterler da C.; OLIVEIRA, E. CAPELAS DE . Fractional Order Pseudoparabolic Partial Differential Equation: Ulam-Hyers Stability. Bull Braz. Math. Soc., v. 50, p. 481-496, 2018.

78. SOUSA, J. Vanterler da C.; Capelas de Oliveira, E . On the Local M-Derivative. Progress in Fractional Differentiation and Applications, v. 4, p. 479-482, 2018.

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79. SOUSA, J. Vanterler da C.; OLIVEIRA, E. CAPELAS DE . Mittag-Leffler Functions and the Truncated $${mathcal {V}}$$ V -fractional Derivative. Mediter. J. Math., v. 14, p. 244-26, 2017.

80. Vanterler da C. Sousa, J.; CAPELAS DE OLIVEIRA, E. ; A. MAGNA, L. . Fractional calculus and the ESR test. AIMS Math., v. 2, p. 692-705, 2017.

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2. J. Vanterler da C. Sousa, Vo Van Au and M. A. Pulido. Fractional Quasilinear Hyperbolic Equations with Variable Sources.

3.  Jafari, Lamine and J. Vanterler da C. Sousa - Existence and Multiplicity of  solution for a class of weighted  $p(x)$-biharmonic Kirchhoff equations. (2024)

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6. Jiabin Zuo and J. Vanterler da C. Sousa. Fractional $p$-Laplacian equations and cylindrical symmetric. (2024)

7. Shruti A. Kalloli, J. Vanterler da C. Sousa, Kishor D. Kucche. On the $\psi$-Hilfer Iterative Fractional Differential Equations. (2024)

8. Shruti A. Kalloli, J. Vanterler da C. Sousa, Kishor D. Kucche. On the $\psi$-Hilfer Iterative Fractional Differential Equations. (2024)

9. J. Vanterler da C. Sousa, Nguyen Thanh Chung and Leandro S. Tavares. Existence of positive weak solutions for fractional Laplacian elliptic systems. (2024)

10. Everson Feitosa and J. Vanterler da C. Sousa. Fractional elliptic problem with two non-local terms involving $p(\xi)$-Laplacian. (2024)

11. El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da C. Sousa and Leandro S. Tavares. A new problem involving an anisotropic $\overrightarrow{p}(\cdot)$-Laplacian operator. (2024)

12. Jiabin Zuo, J. Vanterler da C. Sousa and Gabriela Araújo. Fractional Differential Hemivariational Inequalities. (2024)