A remark on ψ–Hilfer fractional differential equations with non‐instantaneous impulses

Authors: Donal O'Regan, Ngô Văn Hòa, Donal O’Regan,

https://doi.org/10.1002/mma.6125

Publisher, magazine: ,

Publication year: 2020

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Abstract

We present a reasonable concept for solutions of non‐instantaneous impulsive Cauchy problems with a ψ–Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.

Tags: 𝜓–Hilfer fractional derivative, counter-example, non-instantaneous impulsive problem