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 …

In this paper, we introduce the generalized k-fractional integral in terms of a new parameter
k> 0 k>0, present some new important inequalities of Pólya–Szegö and Čebyšev types by …

In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–
Bellman type integral inequalities on time scales, which are the unification of continuous and …

An efficient numerical technique is proposed to solve one-and two-dimensional space
fractional tempered fractional diffusion-wave equations. The space fractional is based on the …

The main aim of the current paper is to propose an efficient numerical technique for solving
two-dimensional space-multi-time fractional Bloch–Torrey equations. The current research …

This paper introduces a high-order numerical procedure to solve the two-dimensional
distributed-order Riesz space-fractional diffusion equation. In the proposed technique, first, a …

In recent years, non-Newtonian fluids have been widely applied in a number of engineering
applications. One particular subclass of non-Newtonian fluids is the generalized Oldroyd-B …

In the current investigation, an error estimate has been proposed to solve the two-
dimensional weakly singular integro-partial differential equation with space and time …

We aim at analyzing a novel structure preserving difference scheme for the high
dimensional nonlinear space-fractional Schrödinger equation. The temporal direction is …

In this paper, we first analyze the mass conservative characteristic finite difference method
for solving three dimensional two-sided space-fractional advection-diffusion equation by …