Stability on a boundary problem with RL-Fractional derivative in the sense of Atangana-Baleanu of variable-order

Autor:	Yihui Xu, Benoumran Telli, Mohammed Said Souid, Sina Etemad, Jiafa Xu, Shahram Rezapour
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	atangana-baleanu derivative variable-order differential equation fixed point ulam-hyers stability Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 32, Iss 1, Pp 134-159 (2024)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2024007?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9a24c3dd5e75430694f32817d0c7bcee Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.