Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

Year 2020, , 332 - 348, 30.12.2020

Abdelkrim Salim Mouffak Benchohra Jamal Eddine Lazreg Johnny Henderson

https://doi.org/10.31197/atnaa.825294

Cited By: 19

Abstract

In the present article, we prove some results concerning the existence of solutions for a class of
initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on fixed point theorems of Darbo and Monch associated with the technique of measure of noncompactness. An example is included to show the applicability of our results.
.

Keywords

Implicit fractional differential equations, generalized Hilfer fractional derivative, initial value problem, measure of noncompactness, fixed point, non-instantaneous impulses, Ulam stability

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