Publications

• Selected Peer-Reviewed 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 with computers (Springer), SCI (Q1), 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 with computers (Springer), SCI (Q1), 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 indexed)

 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 with computers (Springer), SCI (Q1), 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 indexed) 

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), SCI (Q2), 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 (Q3), 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 indexed) 

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 (Q1), 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 with computers (Springer), SCI (Q1), 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 indexed) 

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 indexed) 

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 (Q3), 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 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 )

18. 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)

19. 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) 

20. 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)

21. Pratibha Verma, Surabhi Tiwari,  Analysis of COVID-19 Model Using Atangana-Baleanu Variable Order Operator, 2025. (Proceedings of the National Academy of Sciences, India Section A: Physical Sciences (Springer), SCI (Q3), IF = 0.9 )

22.  Pratibha Verma, Wojciech Sumelka, Stability Analysis of Multi-Spatial Riesz and Multi-Fractional Non-linear Damped Wave Equations Involving Caputo-Fabrizio Derivative, 2025.    (Engineering with Computers  (Springer), SCI (Q1), IF = 4.9).

23. Pratibha Verma, Surabhi Tiwari, Solutions of Variable Order Mobile-Immobile Advection-Dispersion Models, their Existence and Uniqueness, 2026.   (Journal of Nonlinear, Complex and Data Science (De Gruyter Brill),  SCI Indexed,   IF = 1.5).

24.  Pratibha Verma, Wojciech Sumelka, A Qualitative Analysis of Nonlinear ψ-Hilfer Equations with Complex Fractional Order, 2026.    (Royal Society Open Science   ( The Royal Society ), SCI (Q1), IF = 2.9).

• 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 indexed.

• 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 indexed.

3.  Sushmita Anand,  Wojciech Sumelka  and  Pratibha Verma, Lie Symmetries, Exact Solitary Wave Solutions, and Conservation Laws of non-linear Degasperis-Procesi Equation (Continuous and Discrete Dynamics: Theory and Applications, (Springer Nature), Scopus indexed).

4.   Pratibha Verma,  Wojciech  Sumelka, Harendra Verma, Hitesh K. Singh,   (A Fractal-Fractional Approach to Zika Fever Modeling: Hyers-Ulam Stability with the Atangana-Baleanu Derivative (Continuous and Discrete Dynamics: Theory and Applications (Springer Nature), Scopus indexed).

5.  Pratibha Verma, Pankaj Mathur, Wojciech Sumelka, Hitesh K Singh, Harendra Verma,  (Disease Dynamics of COVID-19: A Mathematical Model with Migrant and Asymptomatic Infectious Classes (Continuous and Discrete Dynamics: Theory and Applications (Springer Nature), Scopus indexed).

• Conference Proceedings 

1. Pratibha Verma and Wojciech Sumelka,  Hyers–Ulam Stability of ψ-Hilfer Nonlinear Differential Equations of Complex Order, 2026.   (Journal of Numerical Analysis, Industrial and Applied Mathematics   (European Society of Computational Methods in Sciences and Engineering (ESCMSE), Scopus indexed).