Abstract and Applied Analysis (Jan 2021)

Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses

  • Abdelkrim Salim,
  • Mouffak Benchohra,
  • Jamal Eddine Lazreg,
  • Gaston N’Guérékata

DOI
https://doi.org/10.1155/2021/5592010
Journal volume & issue
Vol. 2021

Abstract

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This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems.