Title of article :
On k-Generalized ψ-Hilfer Impulsive Boundary Value Problem with Retarded and Advanced Arguments
Author/Authors :
Salim, A Djillali Liabes University , Benchohra, M Djillali Liabes University , Lazreg, J.E Djillali Liabes University , Karapinar, E Cankaya University & Industrial University of Ho Chi Minh City
Abstract :
Abstract. This paper deals with the existence and uniqueness results for a class of impulsive boundary value problem for implicit nonlinear fractional differential equations and k-Generalized ψ-Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on the Banach contraction principle and Schauder’s fixed point theorem. Suitable illustrative examples are provided.
Keywords :
uniqueness , impulsions , retarded arguments , ψ-Hilfer fractional derivative , k-generalized ψ-Hilfer fractional derivative , advanced arguments , existence
Journal title :
Journal of Mathematical Extension(IJME)
