Alam, Mehboob and Zada, Akbar and Popa, Ioan-Lucian and Kheiryan, Alireza and Rezapour, Shahram and Kaabar, Mohammed K. A. (2021) A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability. Boundary Value Problems, 2021 (1). ISSN 1687-2770, DOI https://doi.org/10.1186/s13661-021-01549-y.
Full text not available from this repository.Abstract
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Caputo fractional derivative; Hybrid fractional differential equation and inclusion; Thermostat modeling |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 26 Jul 2022 08:34 |
| Last Modified: | 26 Jul 2022 08:34 |
| URI: | http://eprints.um.edu.my/id/eprint/28193 |
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