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

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

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.

Keywords


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

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