Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias. (English) Zbl 1541.34018
Summary: In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam-Hyers-Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34D10 | Perturbations of ordinary differential equations |
| 47H10 | Fixed-point theorems |
| 47J05 | Equations involving nonlinear operators (general) |
Keywords:
Hyers-Ulam-Rassias stability; generalized fractional differential equation; fixed-point theoryReferences:
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