A mathematical study of a tuberculosis model with fractional derivatives. - Hamadjam Abboubakar; Pushpendra Kumar 001; Vedat Suat Ertürk; Anoop Kumar (Int. J. Model. Simul. Sci. Comput., 2021)

A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives. - Hamadjam Abboubakar; Pushpendra Kumar 001; Norodin A. Rangaig; Sachin Kumar (Int. J. Model. Simul. Sci. Comput., 2021)

Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator. - Pushpendra Kumar 001; Vedat Suat Ertürk; Abdullahi Yusuf; Tukur Abdulkadir Sulaiman (Int. J. Model. Simul. Sci. Comput., 2021)

A Study on the 3D Hopfield Neural Network Model via Nonlocal Atangana-Baleanu Operators. - Shahram Rezapour; Pushpendra Kumar 001; Vedat Suat Ertürk; Sina Etemad (Complex., 2022)

On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order. - Zouaoui Bekri; Vedat Suat Ertürk; Pushpendra Kumar 001 (Int. J. Model. Simul. Sci. Comput., 2022)

Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana-Baleanu derivatives. - Pushpendra Kumar 001; Norodin A. Rangaig; Hamadjam Abboubakar; Anoop Kumar; Adhiyaman Manickam (Int. J. Model. Simul. Sci. Comput., 2022)

A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men. - Adhiyaman Manickam; Pushpendra Kumar 001; K. Dasunaidu; Govindaraj Venkatesan; Dheeraj Kumar Joshi (Int. J. Model. Simul. Sci. Comput., 2022)

Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations. - Omar Kahouli; Abdellatif Ben Makhlouf; Lassaad Mchiri; Pushpendra Kumar 001; Naim Ben Ali; Ali Aloui (Symmetry, 2022)

The hybrid average subtraction and standard deviation based optimizer. - Sivalingam S. M; Pushpendra Kumar 001; Govindaraj Venkatesan (Adv. Eng. Softw., 2023)

Dynamics of COVID-19 epidemic via two different fractional derivatives. - Pushpendra Kumar 001; Vedat Suat Ertürk; Govindaraj Venkatesan; Mustafa Inç; Hamadjam Abboubakar; Kottakkaran Sooppy Nisar (Int. J. Model. Simul. Sci. Comput., 2023)

A case study of monkeypox disease in the United States using mathematical modeling with real data. - Pushpendra Kumar 001; Madasamy Vellappandi; Zareen A. Khan; Sivalingam S. M; Anthony Kaziboni; Govindaraj Venkatesan (Math. Comput. Simul., 2023)

A neural networks-based numerical method for the generalized Caputo-type fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; Govindaraj Venkatesan (Math. Comput. Simul., 2023)

A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Comput. Math. Appl., 2024)

A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; Hieu Trinh; Govindaraj Venkatesan (Math. Comput. Simul., 2024)

A novel method to approximate fractional differential equations based on the theory of functional connections. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Numer. Algorithms, 2024)

Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods. - Pushpendra Kumar 001; Wei Gao 012; Pundikala Veeresha; Vedat Suat Ertürk; Doddabhadrappla Gowda Prakasha; Haci Mehmet Baskonus (Int. J. Model. Simul. Sci. Comput., 2024)

A novel method based on fractional order Gegenbauer wavelet operational matrix for the solutions of the multi-term time-fractional telegraph equation of distributed order. - Hamid Reza Marasi; Mohammad Hossein Derakhshan; Amer A. Ghuraibawi; Pushpendra Kumar 001 (Math. Comput. Simul., 2024)

A novel optimization-based physics-informed neural network scheme for solving fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Eng. Comput., 2024)

A novel fractional-order neutral-type two-delayed neural network: Stability, bifurcation, and numerical solution. - Pushpendra Kumar 001; Tae H. Lee; Vedat Suat Ertürk (Math. Comput. Simul., 2025)

A fractional-order multi-delayed bicyclic crossed neural network: Stability, bifurcation, and numerical solution. - Pushpendra Kumar 001; Tae H. Lee; Vedat Suat Ertürk (Neural Networks, 2025)

A hybrid numerical method with high accuracy to solve a time-space diffusion model in terms of the Caputo and Riesz fractional derivatives. - Mohammad Hossein Derakhshan; Yadollah Ordokhani; Pushpendra Kumar 001; J. F. Gómez-Aguilar (J. Supercomput., 2025)

Fixed-time synchronization of fractional-order Hopfield neural networks with proportional delays. - Pushpendra Kumar 001; El Abed Assali (Math. Comput. Simul., 2026)