Tempered fractional-order models open up new possibilities for robust mathematical
modeling of complex multi-scale problems and anomalous transport phenomena. The …

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 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 …

This paper aims to develop an improved Hermite wavelet resolution method for solving
space–time-fractional partial differential equations (STFPDE). Unlike the previous wavelet …

In this article, developed the compact implicit difference method based Grünwald Letnikov
formula (GLF) to compute the solution of the time-fractional diffusion-wave equation …

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 …

Due to the non-locality of fractional derivative, the analytical solution and good approximate
solution of fractional partial differential equations are usually difficult to get. Reproducing …

In this article, the authors analyze the dynamics of new soliton-type analytical solutions and
simulate the generalized Benjamin-Bona-Mahony-Burgers (GBBMB) model. First of all, tanh …

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 …