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Existence, uniqueness and stability results for coupled systems of fractional integro-differential equations with fixed and nonlocal anti-periodic boundary conditions

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pp. 177–199Vol. 26Issue 2March 2023DOI: 10.47974/JIM-1387XML
Received:
05 May 2021
Accepted:
05 Sep 2021
Published Online:
01 Mar 2023
Article type:
A
Language:
EN
Article no.:
JIM-1387
Pages:
177–199

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a new class of coupled system of two Caputo fractional derivatives of different orders and a Riemann- Liouville type integral with fixed and nonlocal anti-periodic boundary conditions, by using the fixed point approach in generalized metric spaces. The Ulam’s type stability of the proposed coupled system is also studied. An example is provided to illustrate the obtained theory.

Keywords

Subject Classifications

(2010) 34A0834A1234D20

References

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