On k-generalized ψ-Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Argument

Authors

  • Abdelkrim Salim
  • Moufak Benchohra
  • Jamal Eddine Lazreg
  • Erdal Karapınar

DOI:

https://doi.org/10.30495/jme.v15i0.2187

Keywords:

ψ-Hilfer fractional derivative, k-generalized ψ-Hilfer frac- tional derivative, impulsions, retarded arguments, advanced arguments, existence, uniqueness.

Abstract

This paper deals with the existence and uniqueness results for a class of impul-sive boundary value problem for implicit nonlinear fractional differential equa-tions and k-Generalized ψ-Hilfer fractional derivative involving both retardedand advanced arguments. Our results are based on some suitable fixed pointtheorems. Suitable illustrative examples are provided.

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Published

2021-12-22

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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