Existence and uniqueness of solutions for nonlinear fractional boundary value problems with $\psi$-Caputo derivatives

SALMA SOLHI; Essaid Anaama; Ahmed  Kajouni; Khalid Hilal

doi:10.5269/bspm.75788

SALMA SOLHI SULTAN Moulay Slimane UNIVERSITY
Essaid Anaama Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco. https://orcid.org/0009-0005-8716-8440
Ahmed Kajouni Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco. https://orcid.org/0000-0001-8484-6107
Khalid Hilal Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco. https://orcid.org/0000-0002-0806-2623

Abstract

This work aims to investigate the existence and uniqueness of solutions for a boundary value problem using a nonlinear fractional differential equation that involves the $\psi$-Caputo fractional derivative. Our findings are demonstrated using Krasnoselkii's fixed point theorem and the Banach contraction principle.

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