Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions. (English) Zbl 07905298
Summary: In this paper, we investigate the existence and uniqueness of solutions for a class of fractional integro-differential boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives, and supplemented with multi-point and nonlocal Riemann-Liouville fractional integral and Caputo fractional derivative boundary conditions. Our results are based on some known tools of fixed point theory. We also study the Ulam-Hyers stability for the proposed fractional problems. Finally, some illustrative examples are included to verify the validity of our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
Ulam-Hyers stability; Riemann-Liouville fractional integral; Caputo fractional derivative; fractional integro-differential equations; existence; fixed point theorem; nonlocal boundary conditionsReferences:
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