In this paper, we develop a new meshless method for solving a wide class of time-fractional
partial differential equations with general space operators in 2D and 3D regular and …

Using the Grünwald difference operator one reduces the inverse boundary value problem of
the multi-term time-fractional integro-differential equation (TFIDE) in two dimensions to a …

We present a meshless method to assess the inverse heat problem (IHP) on multi-
dimensional (multi-D) by the correcting functions. Fulfillment of the scheme is a reformulation …

The parabolic systems for migration of groundwater contaminants are studied through the
semi-analytic method (SAM). For systems, a modification of the classic trigonometric basis …

Using the meshless collocation method, a scheme for solving nonlinear variable-order
fractional diffusion equations with a fourth-order derivative term is presented. Here the …

This article presents a simple but effective two-step analytical–numerical algorithm for
solving multi-dimensional multi-term time-fractional equations. The first step is to derive an …

Fractional Langevin equation describes the evolution of physical phenomena in fluctuating
environments for the complex media systems. It is a sequential fractional differential …

The objectives of this research describes a novel meshless technique for solving space–
time fractional Burgers' equation by using concept of weighted and Caputo fractional …

We study the implementation of a numerical method to solve the time fractional (2+ 1)-
dimensional Wu–Zhang system focusing on properties of trigonometric basis functions …

Fractional Galilei invariant advection–diffusion (GIADE) equation, along with its more
general version that is the GIADE equation with nonlinear source term, is discretized by …