Fractional integro-differential equations with nonlocal conditions and \(\psi\)-Hilfer fractional derivative

DOI10.3846/MMA.2019.034MaRDI QIDQ6559069

Satish K. Panchal, Mohammed S. Abdo, Hussien Shafei Hussien

Publication date: 21 June 2024

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionfixed point theoremleast squares methodfractional integro-differential equations\(\psi\)-Hilfer fractional derivative\(\psi\)-fractional integralexistence and and Ulam-Hyers stability

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Exponential sums (11T23) Functional-differential equations with fractional derivatives (34K37)

Cites Work

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• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• A Caputo fractional derivative of a function with respect to another function
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• Applications of fractional calculus in physics
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
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Related Items (2)

Existence results for a nonlinear generalized Caputo fractional boundary value problem ⋮ Existence and uniqueness of the solution for the Hilfer fuzzy fractional integrodifferential equation via resolvent operators

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