In this research, we have solved non-linear reaction-diffusion equation and non-linear
Burger's–Huxley equation with Atangana Baleanu Caputo derivative. We developed a …

In this presented paper, we investigate the novel numerical scheme for the non-linear
reaction-diffusion equation and non-linear integro reaction-diffusion equation equipped with …

In this paper, the Chebyshev spectral method is applied to solve the nonlinear Fisher
fractional equation with initial boundary conditions. Here, the fractional derivative is …

In this work, we derived a novel numerical scheme to find out the numerical solution of
fractional PDEs having Caputo-Fabrizio (CF) fractional derivatives. We first find out the …

The main objective of this paper is to investigate an accurate numerical method for solving a
biological fractional model via Atangana-Baleanu fractional derivative. We focused our …

In this paper, we derive a novel numerical method to find out the numerical solution of
fractional partial differential equations (PDEs) involving Caputo-Fabrizio (CF) fractional …

In this paper, a novel method based on Bessel functions (BF), generalized Bessel functions
(GBF), the collocation method and the Jacobian free Newton-Krylov sub-space (JFNK) will …

In this paper, we present a numerical method proficient for solving a system of time–
fractional partial differential equations. For this sake, we use spectral collection method …

In this paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were
developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional …

Our aim from this article is to propose a spectral method for numerically solving a general
form of time-fractional differential equation with boundary conditions. Our method is based …