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      Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique

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      Abstract and Applied Analysis
      Hindawi Limited

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          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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          Fractional calculus in viscoelasticity: An experimental study

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            Fractional differential equations in electrochemistry

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              On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

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                Author and article information

                Journal
                Abstract and Applied Analysis
                Abstract and Applied Analysis
                Hindawi Limited
                1085-3375
                1687-0409
                February 26 2018
                February 26 2018
                : 2018
                : 1-7
                Affiliations
                [1 ]Mathematics Department, Al-Azhar University-Gaza, Gaza, State of Palestine
                Article
                10.1155/2018/9605353
                43b4d9be-d24a-439a-8379-b54e831ca381
                © 2018

                http://creativecommons.org/licenses/by/4.0/

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