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Stability on a boundary problem with RL-Fractional derivative in the sense of Atangana-Baleanu of variable-order.
- Source :
-
Electronic Research Archive . 2024, Vol. 32 Issue 1, p1-26. 26p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the existence and stability of solutions in connection to a non-local multiterm boundary value problem (BVP) with differential equations equipped with the Riemann-Liouville (RL) fractional derivative in the sense of Atangana-Baleanu of variable-order. The results about the existence property are investigated and proved via Krasnoselskii's fixed point theorem. Note that all theorems in the present research are studied based on piece-wise constant functions defined on generalized intervals. We shall convert our main BVP with the RL-fractional derivative of the Atangana-Baleanu type of variable-order to an equivalent BVP of constant order of the RL-Atangana-Baleanu derivative. In the next step, we examine the Ulam-Hyers stability for the supposed variable-order RL-Atangana-Baleanu BVP. Finally, we provide some examples to validate that our results are applicable. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178380270
- Full Text :
- https://doi.org/10.3934/era.2024007