Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools o...

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Vydáno v:Advances in difference equations Ročník 2020; číslo 1; s. 1 - 50
Hlavní autoři: Zada, Akbar, Alzabut, Jehad, Waheed, Hira, Popa, Ioan-Lucian
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 07.02.2020
Springer Nature B.V
SpringerOpen
Témata:
Analysis
Boundary conditions
Boundary value problems
Caputo derivative
Difference and Functional Equations
Fixed point theory
Functional Analysis
Impulse
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Riemann–Liouville integral
Stability
Ulam–Hyers stability
Riemann–Liouville integral
34B37
Caputo derivative
Fixed point theory
Impulse
Ulam–Hyers stability
34A08
ISSN:1687-1847, 1687-1839, 1687-1847
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Popis
Shrnutí:This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we give two examples to demonstrate the validity of main results.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-2534-1