On existence, uniqueness and Ulam’s stability results for boundary value problems of fractional iterative integrodifferential equations

On existence, uniqueness and Ulam’s stability results for boundary value problems of fractional iterative integrodifferential equations

The author’s aim in the given paper is to study local existence, uniqueness, Ulam–Hyers stability and generalized Ulam–Hyers stability of solutions for boundary value problems of fractional iterative integrodifferential equations. The successive approximation method is applied for the numerical solu...

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Veröffentlicht in:Journal of applied mathematics & computing 2020-10, Vol.64 (1-2), p.503-517
Hauptverfasser: Kendre, S. D., Unhale, S. I.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Boundary value problems
Computational Mathematics and Numerical Analysis
Iterative methods
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Stability
Theory of Computation
Uniqueness
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Zusammenfassung:The author’s aim in the given paper is to study local existence, uniqueness, Ulam–Hyers stability and generalized Ulam–Hyers stability of solutions for boundary value problems of fractional iterative integrodifferential equations. The successive approximation method is applied for the numerical solution of boundary value problems of fractional iterative integrodifferential equations.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-020-01366-z