We introduce a class of orthogonal functions associated with integral and fractional
differential equations with a logarithmic kernel. These functions are generated by applying a …

This paper is devoted to solve the backward problem for a time-fractional diffusion-wave
equation in a bounded domain. Based on the series expression of the solution for the direct …

In this paper, we construct and analyze a linearized finite difference/Galerkin–Legendre
spectral scheme for the nonlinear Riesz-space and Caputo-time fractional reaction–diffusion …

The time distributed-order diffusion-wave equation describes radial groundwater flow to or
from a well. In the paper, an alternating direction implicit (ADI) Legendre–Laguerre spectral …

This paper is devoted to introducing a novel methodology to prove the convergence and
stability of a Crank–Nicolson difference approximation for a class of multi-term time …

This paper considers the inverse problem for identifying the initial value problem of a space-
time fractional diffusion wave equation. In general, this problem is ill-posed and the …

A novel collocation method based on Genocchi wavelet is presented for the numerical
solution of fractional differential equations and time‐fractional partial differential equations …

This paper is devoted to identify simultaneously a fractional order and a space source term
in a multi-dimensional time-fractional diffusion-wave equation by the final time measurement …

Modeling an infinite domain arises while simulating physical applications frequently. It is like
attempting to model the effects and properties of the ocean in a bucket. In this paper, we …

Exploiting a comprehensive mathematical model for a class of systems governed by
fractional optimal control problems is the significant focal point of the current paper. The …