In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

The time-fractional diffusion equation is used for signal smoothing. Compared to the
classical diffusion equation, the time-fractional diffusion equation has another adjustable …

In this paper, two numerical techniques are introduced to study numerically the general
fractional advertising model. This system describes the flux of the consumers from unaware …

This paper proposes an approach for high-order time integration within a multi-domain
setting for time-fractional differential equations. Since the kernel is singular or nearly …

Numerical methods for fractional calculus attract increasing interest due to its wide
applications in various fields such as physics, mechanics, etc. In this paper, we focus on …

The purpose of this work is to study the memory effect analysis of Caputo–Fabrizio time
fractional diffusion equation by means of cubic B-spline functions. The Caputo–Fabrizio …

In this article, we propose a new class of nonlinear fractional differential equations of
diabetes disease based on the concept of Caputo fractional derivative. Two numerical …

In this work, we consider a damped hyperbolic partial differential equation in multiple spatial
dimensions with spatial partial derivatives of non-integer order. The equation under …

Fractional differential equations sufficiently depict the nature in view of the symmetry
properties, which portray physical and biological models. In this paper, we present a …

In this paper, we consider the Galerkin–Legendre spectral method for solving the two-
dimensional distributed-order time fractional fourth-order partial differential equation. By …