A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative

B Ghanbari - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
During past decades, the study of the interaction between predator and prey species has
become one of the most exciting topics in computational biology and mathematical ecology …

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

MF Shehab, MMA El‐Sheikh… - … Methods in the …, 2023 - Wiley Online Library
The improved modified extended tanh‐function approach was used to study optical
stochastic soliton solutions and other exact stochastic solutions for the nonlinear …

Invariant subspaces and exact solutions: and -dimensional generalized time-fractional thin-film equations

P Prakash, R Thomas, T Bakkyaraj - Computational and Applied …, 2023 - Springer
We investigate the applicability and efficiency of the invariant subspace method to (2+ 1)-
dimensional time-fractional nonlinear PDEs. We show how to find various types of invariant …

Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs

KS Priyendhu, P Prakash, M Lakshmanan - Communications in Nonlinear …, 2023 - Elsevier
This paper systematically explains how to apply the invariant subspace method using
variable transformation for finding the exact solutions of the (k+ 1)-dimensional nonlinear …

Invariant subspace method for (m+ 1)-dimensional non-linear time-fractional partial differential equations

P Prakash, KS Priyendhu, M Lakshmanan - Communications in Nonlinear …, 2022 - Elsevier
In this paper, we generalize the theory of the invariant subspace method to (m+ 1)-
dimensional non-linear time-fractional partial differential equations for the first time. More …

Generalized separation of variable methods with their comparison: Exact solutions of time-fractional nonlinear PDEs in higher dimensions

P Prakash, KS Priyendhu, R Sahadevan - Fractional Calculus and Applied …, 2024 - Springer
A systematic investigation of the significance and applicability of two different approaches of
generalized separation of variable (GSV) methods for time-fractional nonlinear PDEs in (2+ …

The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

A Gabr, AH Abdel Kader, MS Abdel Latif - International Journal of Applied …, 2021 - Springer
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …

Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations

C Uma Maheswari, R Sahadevan… - Fractional Calculus and …, 2023 - Springer
In this article we consider a certain class of time fractional nonlinear partial differential
equations as well as partial differential-difference equations with two independent variables …

Initial value problem for the -dimensional time-fractional generalized convection–reaction–diffusion wave equation: invariant subspaces and exact solutions

P Prakash, KS Priyendhu, KM Anjitha - Computational and Applied …, 2022 - Springer
This work investigates how we can extend the invariant subspace method to (2+ 1)-
dimensional time-fractional non-linear PDEs. More precisely, the systematic study has been …

Exact solution of time-fractional differential-difference equations: invariant subspace, partially invariant subspace, generalized separation of variables

R Thomas, T Bakkyaraj - Computational and Applied Mathematics, 2024 - Springer
We present how the invariant subspace method of differential equations can be extended to
scalar and coupled fractional differential-difference equations, and illustrate its applicability …