Theoretical analysis of a class of φ-Caputo fractional differential equations in Banach space

Autor: Ma'mon Abu Hammad, Oualid Zentar, Shameseddin Alshorm, Mohamed Ziane, Ismail Zitouni
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 6411-6423 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024312?viewType=HTML
Popis: A study of a class of nonlinear differential equations involving the $ \varphi $-Caputo type derivative in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point theorems are used to achieve some quantitative results. Two illustrative examples are provided to justify the theoretical results.
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