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On the Explicit Solution of ψ-Hilfer Integro-Differential Nonlocal Cauchy Problem |
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PP: 65-77 |
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doi:10.18576/pfda/090104
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Author(s) |
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Mohammed A. Almalahi,
Satish K. Panchal,
Khaled Aldwoah,
Mansour Lotayif,
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Abstract |
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| The point of this work is to analyze and investigate the suffcient conditions of the existence and uniqueness of explicit solution for ψ-Hilfer fractional differential equation (FDEs) with constant coefficient in the form of Mittag-Leffler (ML) function by using Holder inequality and two well-known fixed point theorems, namely Banach and Schaefer. Utilizing generalised Gronwall inequality lemma, Eκ -Ulam stability results is evaluated. Additionally, some examples are provided to demonstrate how our findings can be applied.
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