Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two
main characteristics—singularity and nonlocality—has attracted increasing interest due to its …

The numerical solution of the time-fractional Black-Scholes model for European and
American options is presented using a local meshless collocation approach based on hybrid …

In the paper, a combined form of the Sumudu transform method with the Adomian
decomposition method in the sense of local fractional derivative, is proposed to solve …

In this article, we present an efficient local meshless method for the numerical treatment of
three-dimensional convection-diffusion PDEs. The demand of meshless techniques …

We investigate the existence of solutions for Caputo type sequential fractional integro-
differential equations and inclusions subject to nonlocal boundary conditions involving …

This study introduces the generalized Khater Method (gKM) as a tool for investigating the
existence and dynamics of soliton solutions within the realm of the Fractional Coupled Higgs …

In this study, we examine numerical solutions of Zakharov–Rubenchik system which is a
coupled nonlinear partial differential equation. The numerical method in the current study is …

H. Ammari In this article, an innovative technique so‐called spectral meshless radial point
interpolation (SMRPI) method is proposed and, as a test problem, is applied to a classical …

In this paper, the fractional Euler method has been studied, and the derivation of the novel 2‐
stage fractional Runge–Kutta (FRK) method has been presented. The proposed fractional …

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 …