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 …

The main aim of the current paper is to propose an efficient numerical technique for solving
space-time fractional partial weakly singular integro-differential equation. The temporal …

In this paper, a numerical method is presented to solve a nonlinear weakly singular time-
fractional partial integro–differential equation with Caputo fractional derivative. An …

In this paper, a new numerical scheme based on weighted and shifted Grünwald formula
and compact difference operate is proposed. The proposed numerical scheme is used to …

In this article, our aim is to construct two new schemes for numerically solving the nonlinear
weakly singular integro-fractional differential equation (WSIFDE) in 1D and 2D. Scheme-I …

In this paper, we develop a high‐order finite difference scheme for the solution of a time
fractional partial integro‐differential equation with a weakly singular kernel. The fractional …

In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to
obtain the approximate solution of variable-order time-fractional partial integro-differential …

In this paper, we propose a fast and efficient numerical method to solve the two-dimensional
integro-differential equation with a weakly singular kernel. The numerical method are …

In this paper, a compact finite difference scheme is constructed and investigated for the
fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel. In the …

The fractional PDEs based upon the distributed-order fractional derivative have several
applications in physics. The two-dimensional time-space distributed-order weakly singular …