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Progress in Fractional Differentiation & Applications

Author Country (or Countries)

Yemen

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090104

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