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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 and . 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, Hindawi, vol. 2018, pages 1-7, February.
    • Handle: RePEc:hin:jnlaaa:9605353
    DOI: 10.1155/2018/9605353
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    Cited by:

    1. Nazim Mahmudov & Areen Al-Khateeb, 2020. "Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations," Mathematics, MDPI, vol. 8(8), pages 1-17, July.

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