EXISTENCE, UNIQUENESS AND STABILITY RESULTS FOR FRACTIONAL NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

EXISTENCE, UNIQUENESS AND STABILITY RESULTS FOR FRACTIONAL NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with integral boundary conditions. The desired results are proved by using Banach and Krasnoselskii's fixed p...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2023-04, Vol.13 (2), p.491
Hauptverfasser: Hamoud, A, Osman, M
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach spaces
Boundary conditions
Differential equations
Fixed points (mathematics)
Mathematics
Random variables
Stability
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Zusammenfassung:In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with integral boundary conditions. The desired results are proved by using Banach and Krasnoselskii's fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed. An example is presented to guarantee the validity of our results. Keywords: Fractional Volterra-Fredholm integro-differential equation, Caputo sense, Generalized Ulam stability, Fixed point method. AMS Subject Classification: 45J05, 34A12, 34A08, 34D20.
ISSN:2146-1147
2146-1147