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 …
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 …
stochastic soliton solutions and other exact stochastic solutions for the nonlinear …
Invariant subspaces and exact solutions: and -dimensional generalized time-fractional thin-film equations
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 …
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
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 …
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
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 …
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
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+ …
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
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …
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 …
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 …
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 …
scalar and coupled fractional differential-difference equations, and illustrate its applicability …