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2018 Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique
Mohammed M. Matar
Abstr. Appl. Anal. 2018: 1-7 (2018). DOI: 10.1155/2018/9605353

Abstract

We obtain in this article a solution of sequential differential equation involving the Hadamard fractional derivative and focusing the orders in the intervals ( 1,2 ) and ( 2,3 ) . Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems.

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Mohammed M. Matar. "Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique." Abstr. Appl. Anal. 2018 1 - 7, 2018. https://doi.org/10.1155/2018/9605353

Information

Received: 30 September 2017; Accepted: 4 January 2018; Published: 2018
First available in Project Euclid: 17 March 2018

zbMATH: 06929599
MathSciNet: MR3773412
Digital Object Identifier: 10.1155/2018/9605353

Rights: Copyright © 2018 Hindawi

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