Work

Tempered (κ, ϖ)-Hilfer hybrid pantograph fractional boundary value problems with retarded and advanced arguments

Year: 2025

Type: article

Abstract: Our research primarily focuses on utilizing tempered (?, ?)-fractional operators to explore the existence, uniqueness, and ?-Mittag-Leffler-Ulam-Hyers stability of a specific class of hybrid Pantograph boundary value problems involving both retarded and advanced arguments. Our approach is based on Banach?s fixed-point theorem, along with a generalized form of the well-known Gronwall inequality. Furthermore, we include an illustrative example to demonstrate the practical implications of our findings.

Source: Filomat

DOI: 10.2298/fil2506971w

Authors: Ching-Feng Wen, Abdelkrim Salim

Institutions: Kaohsiung Medical University, Kaohsiung Medical University Chung-Ho Memorial Hospital, Université Djilali de Sidi Bel Abbès, Hassiba Benbouali University of Chlef

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413247783

FWCI:

Cites: 45

Cited by:

Related to: 10