Existence of mild solutions for a multi-term fractional differential equation via \(\psi-(\gamma,\sigma)\)-resolvent operators

DOI10.1142/S1793557123502121MaRDI QIDQ6650922

Mhamed Elomari, [[Person:6130472|Author name not available (Why is that?)]], Ali El Mfadel, Khalid Hilal

Publication date: 9 December 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

\(\psi-(\gamma\sigma)\)-resolvent operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Cites Work

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• Differential equations in Banach spaces. II: Theory of cosine operator functions
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• Existence of mild solutions to nonlocal fractional Cauchy problems via compactness
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• Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces
• Existence uniqueness and stability of mild solutions for semilinear \(\psi\)-Caputo fractional evolution equations
• Mild solutions for a multi-term fractional differential equation via resolvent operators
• Subordination principle for fractional diffusion-wave equations of Sobolev type
• Existence of mild solutions for nonlocal \(\psi\)-Caputo-type fractional evolution equations with nondense domain
• Fractional Derivatives Applied to Epidemiology

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