Author(s)

Zayed Al-Zuhiri¹, Zeyad Al-Zhour², Khaled Jaber^1*

¹Department of Mathematics, Faculty of Science and Information Technology, Zarqa University, Zarqa, Jordan.
²Department of Basic Sciences and Humanities, College of Engineering, University of Dammam, Dammam, Saudi Arabia.

In this paper, we present the general exact solutions of such coupled system of matrix fractional differential equations for diagonal unknown matrices in Caputo sense by using vector extraction operators and Hadamard product. Some illustrated examples are also given to show our new approach.

Fractional Operators, Matrix Fractional Differential Equations, Hadamard Product, Vector Extraction Operator

Al-Zuhiri, Z. , Al-Zhour, Z. and Jaber, K. (2016) The Exact Solutions of Such Coupled Linear Matrix Fractional Differential Equations of Diagonal Unknown Matrices by Using Hadamard Product. Journal of Applied Mathematics and Physics, 4, 432-442. doi: 10.4236/jamp.2016.42049.