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description Journal article public Journal of Mathematical Analysis and Modeling

Some Existence and Stability Results for ψ-Hilfer Fractional Implicit Differential Equation with Periodic Conditions: ψ-Hilfer Fractional Implicit Differential Equation

Mohammed A. Almalahi, Satish K. Panchal
Published 2020

Abstract

In this paper, we study the class of boundary value problems for a nonlinear implicit fractional differential equation with periodic conditions involving a ψ-Hilfer fractional derivative. With the help of properties Mittag-Leffler functions, and fixed-point techniques, we establish the existence and uniqueness results, whereas the generalized Gronwall inequality is applied to get the stability results. Also, an example is provided to illustrate the obtained results.

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