This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …

For the first time in literature, semi-implicit spectral approximations for nonlinear Caputo time-
and Riesz space-fractional diffusion equations with both smooth and non-smooth solutions …

Abstract Models based on partial differential equations containing time–space fractional
derivatives have attracted considerable interest in the past decade because of their ability to …

In this work, a novel two-dimensional (2D) multi-term time-fractional mixed sub-diffusion and
diffusion-wave equation on convex domains will be considered. Different from the general …

This paper presents a computational method for the approximate solution of arbitrary-order
non-linear fractional Riccati differential equations with variable coefficients. Proposed …

In this paper, we develop an efficient finite difference/spectral method to solve a coupled
system of nonlinear multi-term time-space fractional diffusion equations. In general, the …

In this article, a fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme,
which aims at solving nonlinear problems quickly, is considered to numerically solve the …

The evaluation and optimization of the carrying capacity of urban resources and
environment is an important basis for sustainable development of cities and society. The …

In the current paper, an error estimate has been proposed to find a second-order finite
difference scheme for solving the Riesz space distributed-order diffusion equation. The …

In the current study, we introduce fractional-order Boubaker polynomials related to the
Boubaker polynomials to achieve the numerical result for pantograph differential equations …