• 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

  • Pages
    39
  • From page
    1
  • To page
    39
  • 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)
  • Serial Year
    2021
  • Record number

    2688419