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

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  • Mohammed M. Matar

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.

Suggested Citation

  • Mohammed M. Matar, 2018. "Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:9605353
    DOI: 10.1155/2018/9605353
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    References listed on IDEAS

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    1. Ahmad, Bashir & K. Ntouyas, Sotiris, 2015. "Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 615-622.
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