Boutiara, Abdellatif and Benbachir, Maamar and Kaabar, Mohammed K. A. and Martinez, Francisco and Samei, Mohammad Esmael and Kaplan, Melike (2022) Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval. Journal of Inequalities and Applications, 2022 (1). ISSN 1029-242X, DOI https://doi.org/10.1186/s13660-022-02764-6.
Full text not available from this repository.Abstract
In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions' existence for a class of nonlinear fractional q-difference equations in the context of the Riemann-Liouville fractional q-derivative on an infinite interval. The system's solution is formulated with the help of Green's function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
| Item Type: | Article |
|---|---|
| Funders: | Bu-Ali Sina University |
| Uncontrolled Keywords: | Fractional q-difference equation; Fractional q-derivative; Unbounded solution; Explicit iteration; Infinite interval |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 12 Aug 2022 07:21 |
| Last Modified: | 12 Aug 2022 07:21 |
| URI: | http://eprints.um.edu.my/id/eprint/32750 |
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