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5. Theoretical analysis of a class of $ \varphi $-Caputo fractional differential equations in Banach space.

Author

Hammad, Ma'mon Abu, Zentar, Oualid, Alshorm, Shameseddin, Ziane, Mohamed, and Zitouni, Ismail

Subjects
BANACH spaces, NONLINEAR differential equations, FRACTIONAL differential equations, HAUSDORFF measures
Abstract

A study of a class of nonlinear differential equations involving the φ -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. A study of a class of nonlinear differential equations involving the -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. [ABSTRACT FROM AUTHOR]

Published
2024
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