Theoretical study of a class of \(\zeta \)-Caputo fractional differential equations in a Banach space

DOI10.11948/20230436zbMath1547.34024MaRDI QIDQ6616906

Oualid Zentar, Mohammed Al Horani, Mohamed Ziane, Ismail Zitouni

Publication date: 9 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremHausdorff measure of noncompactness\( \zeta \)-Caputo derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• A Caputo fractional derivative of a function with respect to another function
• A note on function space and boundedness of the general fractional integral in continuous time random walk
• Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
• The asymptotic expansion of a ratio of gamma functions
• Psi-Caputo logistic population growth model
• Existence results and continuity dependence of solutions for fractional equations
• Analysis of fractional differential equations
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