Advances in the Theory of Nonlinear Analysis and its Application

Yazarlar: ["Salim ABDELKRİM", "Mouffak BENCHOHRA", "Jamal Eddine LAZREG", "Johnny HENDERSON"]

Konular:-

DOI:10.31197/atnaa.973992

Anahtar Kelimeler:$\psi$-Hilfer fractional derivative,$k$-generalized $\psi$-Hilfer fractional derivative,Cauchy-type problem,Retarded arguments,Advanced arguments,Existence,Uniqueness

Özet: 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.

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