publication . Article . 2017

On matrix fractional differential equations

Adem Kilicman; Wasan Ajeel Ahmood;
Open Access English
  • Published: 01 Jan 2017 Journal: Advances in Mechanical Engineering, volume 9 (issn: 1687-8140, Copyright policy)
  • Publisher: SAGE Publishing
Abstract
The aim of this article is to study the matrix fractional differential equations and to find the exact solution for system of matrix fractional differential equations in terms of Riemann–Liouville using Laplace transform method and convolution product to the Riemann–Liouville fractional of matrices. Also, we show the theorem of non-homogeneous matrix fractional partial differential equation with some illustrative examples to demonstrate the effectiveness of the new methodology. The main objective of this article is to discuss the Laplace transform method based on operational matrices of fractional derivatives for solving several kinds of linear fractional differ...
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Subjects
free text keywords: Mechanical Engineering, lcsh:Mechanical engineering and machinery, lcsh:TJ1-1570, Numerical partial differential equations, Partial differential equation, Differential algebraic equation, Linear differential equation, Matrix differential equation, Applied mathematics, Fractional calculus, Examples of differential equations, Stochastic partial differential equation, Mathematics
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