Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations

In this paper, we established some new results concerning the uniqueness and Ulam’s stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential equations subject to the boundary conditions. The fractional derivatives are considered in the Caputo sense. These new...

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Veröffentlicht in:Journal of Siberian Federal University. Mathematics & Physics 2021-01, Vol.14 (3), p.313-325
1. Verfasser: Hamoud, Ahmed A.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we established some new results concerning the uniqueness and Ulam’s stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential equations subject to the boundary conditions. The fractional derivatives are considered in the Caputo sense. These new results are obtained by applying the Gronwall–Bellman’s inequality and the Banach contraction fixed point theorem. An illustrative example is included to demonstrate the efficiency and reliability of our results
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2021-14-3-313-325