Nouara, Ahmed and Amara, Abdelkader and Kaslik, Eva and Etemad, Sina and Rezapour, Shahram and Martinez, Francisco and Kaabar, Mohammed K. A. (2021) A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type. Advances in Difference Equations, 2021 (1). ISSN 1687-1847, DOI https://doi.org/10.1186/s13662-021-03502-w.
Full text not available from this repository.Abstract
In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann-Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage's technique, which deals with a composition of three operators. After that, its stability analysis of Ulam-Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Hybrid boundary problem; Riemann-Liouville derivative; Dhage's technique; Stability |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 16 Aug 2022 08:23 |
| Last Modified: | 16 Aug 2022 08:23 |
| URI: | http://eprints.um.edu.my/id/eprint/28590 |
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