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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2022 / Cilt: 6 - Sayı: 2

On $k$-Generalized $\psi$-Hilfer Boundary Value Problems with Retardation and Anticipation

Salim ABDELKRİM, Mouffak BENCHOHRA, Jamal Eddine LAZREG, Johnny HENDERSON

Sayfa
173–190
DOI
—

Abstract

In this paper, we prove some existence and uniqueness results for a class of boundary valued problems for implicit nonlinear $k$-generalized $\psi$-Hilfer fractional differential equations involving both retarded and advanced arguments. Further, examples are given to illustrate the viability of our results.

On $k$-Generalized $\psi$-Hilfer Boundary Value Problems with Retardation and Anticipation — AJIndex