Matrix Mittag-Leffler function and solution of multi-term fractional differential equations
type: Item
instance of: scholarly article
title: Matrix Mittag-Leffler function and solution of multi-term fractional differential equations
zbMATH Open document ID: 1474.34026
DOI: 10.1504/IJDSDE.2020.111478
author: Li-An Chen
author: Jun-Sheng Duan
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2021-05-07T00:00:00Z
review text: Summary: In this paper, we first derive the solution of fractional differential equation system expressed in matrix Mittag-Leffler function by using the Adomian decomposition method. Then we consider the initial value problem (IVP) for multi-term fractional differential equation. By introducing new unknown functions, we rewrite the IVP for multi-term fractional differential equation into the IVP for a fractional differential equation system. Thus the solution can be given in terms of matrix Mittag-Leffler functions. We demonstrate the method using four numerical examples and the results are simulated using MATHEMATICA 8.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 33E12
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7345596
zbMATH Keywords: fractional calculus
zbMATH Keywords: fractional derivative
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: fractional differential equation
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.111478
OpenAlex ID: W4247745015
description: scientific article; zbMATH DE number 7345596