Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory

	Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3197-3211 اصل مقاله (475.97 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21951.2306
نویسندگان
Abdellatif Boutiara¹؛ Maamar Benbachir^* ²
¹Laboratory of Mathematics And Applied Sciences, University of Ghardaia, 47000, Algeria
²Faculty of Sciences, Saad Dahlab University, Blida 1, Algeria
چکیده
This paper aims to highlight the existence and uniqueness results for a coupled system of nonlinear fractional $q$-ifference subject to nonlinear more general four-point boundary conditions are treated. Our analysis relies on two approaches, the topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Finally, Two examples illustrating the effectiveness of the theoretical results are presented.
کلیدواژه‌ها
fractional differential equations system؛ fractional $q$-derivative؛ topological degree theory؛ condensing maps؛ existence and uniqueness
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