In this paper we consider multi variable orders differential equations (MVODEs) with non-
local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of …

This paper is mainly concerned with introducing a numerical method for solving initial–
boundary value problems with integer and fractional order time derivatives. The method is …

A Numerical Approach for Multi-variable Orders Differential Equations Using Jacobi
Polynomials | International Journal of Applied and Computational Mathematics Skip to main …

In this work, we consider variable order diffusion-wave equations. We choose variable order
derivative in the Caputo sense. First, we approximate the unknown functions and its …

In this work, we consider variable order difusion and wave equations. The derivative is
described in the Caputo sence of variable order. We use the Genocchi polynomials as basic …

In this paper, we introduce a general class of the inverse system of nonlinear fractional order
partial differential equations (GCISNF-PDEs) with initial-boundary and two …

In this work, we propose the Ritz approximation approach with a satisfier function to solve
fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal …

The paper investigates the numerical solution of the multi-dimensional fractional differential
equations by applying fractional-Lucas functions (FLFs) and an optimization method. First …

The manuscript details a numerical method for solving a system of fractional differential
equations (SFDEs) based on the Caputo fractional derivative by the Ritz method. To use this …

In this study, nonlinear space–time fractional partial differential equations with variable
coefficients are considered. The fractional derivatives are described in the conformable …