Stability analysis for fractional order implicit ψ‐Hilfer differential equations

DOI10.1002/mma.7948zbMath1527.34011OpenAlexW3212234989MaRDI QIDQ6180377

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Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7948

zbMATH Keywords

existence of solutionGronwall inequality\(\psi\)-Hilfer derivativeUlam Hyers Mittag Leffler

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Fractional ordinary differential equations (34A08)

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Cites Work

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• Note on the solution of random differential equations via \(\psi\)-Hilfer fractional derivative
• Ulam-Hyers-Mittag-Leffler stability for \(\psi\)-Hilfer fractional-order delay differential equations
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• A note on the mild solutions of Hilfer impulsive fractional differential equations
• On the \(\psi\)-Hilfer fractional derivative
• On the nonlinear \(varPsi\)-Hilfer fractional differential equations
• Ulam’s type stability of Hadamard type fractional integral equations