Publications

1. Pratibha Verma, Manoj Kumar, Analytical solution with existence and uniqueness conditions of non-linear initial value multi-order fractional differential equations using Caputo derivative, 2020. (Engineering and computers (Springer), SCI, IF=8.083) 

2. Pratibha Verma, Manoj Kumar, Exact solution with existence and uniqueness conditions for multi-dimensional time-space tempered fractional diffusion-wave equation, 2020. (Engineering and computers (Springer), SCI, IF=8.083 ) 

3. Pratibha Verma, Manoj Kumar, An analytical solution with existence and uniqueness conditions for fractional integro differential equations, 2020. (International Journal of Modeling, Simulation, and Scientific Computing (World Scientific), Scopus index)

 4. Pratibha Verma, Manoj Kumar, Existence and uniqueness results and analytical solution of the multi-dimensional Riesz space distributed-order advection–diffusion equation via two-step Adomian decomposition method, 2020. (Engineering and computers (Springer), SCI, IF=8.083  ) 

5. Pratibha Verma, Manoj Kumar, An Analytical Solution of Multi-Dimensional Space Fractional Diffusion Equations with Variable Coefficients, 2021. (International Journal of Modeling, Simulation, and Scientific Computing (World Scientific), Scopus index) 

6. Pratibha Verma, Manoj Kumar, New existence, uniqueness results for multi-dimensional multiterm Caputo time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains, 2020. (Journal of Applied Analysis and Computation (Shanghai Normal University & Wilmington Scientific Publisher), SCIE, IF=1.827) 

7. Pratibha Verma, Manoj Kumar, An Analytical Solution of Linear/Nonlinear Fractional-Order Partial Differential Equations and with New Existence and Uniqueness Conditions, 2020. (Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Springer), SCI, IF=1.291) 

8. Pratibha Verma, Manoj Kumar, Hyers-Ulam stability and existence of solution for nonlinear variable order fractional differential equations with singular kernel, 2021. (International Journal of Applied and Computational Mathematics (Springer), Scopus index) 

9. Pratibha Verma, Manoj Kumar, Anand Shukla, Ulam-Hyers stability and analytical approach for m-dimensional Caputo space-time variable fractional order advection-dispersion equation, 2021. (International Journal of Modeling, Simulation, and Scientific Computing (World Scientific), Scopus index) 

10. Pratibha Verma, Manoj Kumar, Analysis of a novel coronavirus (2019-nCOV) system with variable Caputo-Fabrizio fractional order, 2021. (Chaos, Solitons and Fractals (Elsevier), SCI, IF=9.922) 

11. Pratibha Verma, Manoj Kumar, On the existence and stability of fuzzy CF variable fractional differential equation for COVID-19 epidemic, 2021. (Engineering and computers (Springer), SCI, IF=8.083 )

 12. Pratibha Verma, Manoj Kumar, Anand Shukla, Analysis on Krasnoselskii’s fixed point theorem of fuzzy variable fractional differential equation for a novel coronavirus (COVID-19) model with singular operator, 2021. (International Journal of Modeling, Simulation, and Scientific Computing (World Scientific), Scopus index) 

13. Pratibha Verma, Manoj Kumar, Positive solutions and stability of fuzzy Atangana-Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19) via fixed point approach, 2021. (International Journal of Modeling, Simulation, and Scientific Computing (World Scientific), Scopus index) 

14.  Pratibha Verma, Surabhi Tiwari, Akanksha Verma, Theoretical and numerical analysis of fractional order mathematical model on recent COVID-19 model, 2022. (Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Springer), SCI, IF=1.291) 

15. Pratibha Verma and Surabhi Tiwari, Existence, Uniqueness and Stability of Solutions of a Variable Order Non-Iinear Integro-Differential Equation in a Banach Space, 2023. (Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Springer), SCI (Q3), IF = 0.9 )

16. Pratibha Verma and Surabhi Tiwari, Solution of a Time-Space Tempered Fractional Diffusion￾Wave Equation and its Theoretical Aspects, 2024. (Acta Mathematicae Applicatae Sinica, English Series (Springer), SCI (Q3), IF = 0.8 )

17. Pratibha Verma, Rakesh Kumar, Bhupander Singh, Amar Deep, Analysis and Solution of Complex Order Differential Equations using Singular Kernel, 2024. (Differential Equations & Applications - DEA (Springer), ESCI (Q3), I.F. = 0.7)

18. Pratibha Verma and Surabhi Tiwari, Analysis of Multi-Term Time Complex Fractional Diffusion Equation with Hilfer-Hadamard Fractional Derivative, 2024. (Mathematical Sciences (Springer), SCI (Q1), IF = 1.9 )

19. Pratibha Verma and Surabhi Tiwari, Ulam-Hyer’s Stability Of Nonlinear Integro-Differential Equations Having Complex Order, 2024.(Applied Mathematics-A Journal of Chinese Universities (Springer), SCI (Q2), IF = 1.2)

20. Ruchi Kaur, Prabhanshi, Ishita Jhamb, and Pratibha Verma (Corresponding Author), Transmission Dynamics of COVID-19 Across a Region: A Mathematical Model, 2025. (Proceedings of the National Academy of Sciences, India - Section A, SCI (Q3), IF = 0.8) 

21. Pratibha Verma, Wojciech Sumelka, Existence, Stability, and Numerical Methods for Multi-Fractional Integro-Differential Equations with Singular Kernel, 2025, (Mathematics, SCI(Q1), IF=2.2)

• Published/Accepted Book Chapters

1. Pratibha Verma, Sushmita Anand, Parul Saini, Amar Deep Existence, Uniqueness and Stability Results for Tempered Fractional Integro-Differential Equations via Fixed Point Techniques. (ADVANCES IN FUNCTIONAL ANALYSIS AND TOPOLOGY WITH APPLICATIONS, (Springer Nature), Scopus index 

• Accepted Book Chapters

2.  Ruchi Kaur, Pratibha Verma (Corresponding Author), Prabhanshi Lie Symmetry Analysis Of A Mathematical Model For COVID-19. (Advances in Function Spaces, Dynamical Systems and Their Applications, (SpringerNature), Scopus index).

• Conference Proceedings 

1. Pratibha Verma and Wojciech Sumelka,  Hyers–Ulam Stability of ψ-Hilfer Nonlinear Differential Equations of Complex Order. In: Proceedings of the 23rd International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2025), Heraklion, Crete, Greece, September 16–22, 2025.  (Accepted)