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

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


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.


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

Full Text: PDF


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.