Kaabar, Mohammed K. A. and Refice, Ahmed and Souid, Mohammed Said and Martinez, Francisco and Etemad, Sina and Siri, Zailan and Rezapour, Shahram (2021) Existence and U-H-R stability of solutions to the implicit nonlinear fbvp in the variable order settings. Mathematics, 9 (14). ISSN 2227-7390, DOI https://doi.org/10.3390/math9141693.
Full text not available from this repository.Abstract
In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasnoselskii's fixed point theorem and in the sequel, and its Ulam-Hyers-Rassias (U-H-R) stability is checked. An illustrative example is presented at the end of this paper to validate our findings.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Variable-order operators; Piecewise constant functions; Ulam-Hyers-Rassias stability; Implicit problem; Fixed point theorems |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 12 Apr 2022 05:26 |
| Last Modified: | 12 Apr 2022 05:26 |
| URI: | http://eprints.um.edu.my/id/eprint/28709 |
Actions (login required)
 |
View Item |
