Existence, Uniqueness and Stability Results of Fractional Volterra-Fredholm Integro Differential Equations of ψ -Hilfer Type

DOI10.5890/DNC.2021.09.013zbMath1492.45007OpenAlexW3161619217WikidataQ115158652 ScholiaQ115158652MaRDI QIDQ5087599

Ahmed A. Hamoud, Abdulrahman A. Sharif, Kirtiwant P. Ghadle

Publication date: 1 July 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2021.09.013

zbMATH Keywords

Gronwall inequalityVolterra-Fredholm equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Cites Work

• Existence and uniqueness for a problem involving hilfer fractional derivative
• Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• A Caputo fractional derivative of a function with respect to another function
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• On the Stability of the Linear Mapping in Banach Spaces
• Usage of the homotopy analysis method for solving fractional Volterra-Fredholm integro-differential equation of the second kind
• The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
• On abstract Hilfer fractional integrodifferential equations with boundary conditions
• The Approximate Solutions of Fractional Volterra-Fredholm Integro-Differential Equations by using Analytical Techniques
• Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• Basic Theory of Fractional Differential Equations
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