Existence, Uniqueness, and Stability of Solutions for Nabla Fractional Difference Equations

Autor:	Nikolay D. Dimitrov, Jagan Mohan Jonnalagadda
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	nabla fractional difference summation conditions existence results uniqueness result stability Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 10, p 591 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8100591
Popis:	In this paper, we study a class of nabla fractional difference equations with multipoint summation boundary conditions. We obtain the exact expression of the corresponding Green’s function and deduce some of its properties. Then, we impose some sufficient conditions in order to ensure existence and uniqueness results. Also, we establish some conditions under which the solution to the considered problem is generalized Ulam–Hyers–Rassias stable. In the end, some examples are included in order to illustrate our main results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/49a639167bb54dea963611fcd7eec4cc Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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