On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials

Autor:	Sina Etemad, Brahim Tellab, Chernet Tuge Deressa, Jehad Alzabut, Yongkun Li, Shahram Rezapour
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Bernstein polynomial Generalized boundary problem Numerical solution Thermostat model Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-20 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03610-7
Popis:	Abstract In this paper, we introduce a new structure of the generalized multi-point thermostat control model motivated by its standard model. By presenting integral solution of this boundary problem, the existence property along with the uniqueness property are investigated by means of a special version of contractions named μ-φ-contractions and the Banach contraction principle. Then, on the given nonlinear generalized BVP of thermostat, the Bernstein polynomials are introduced and numerical solutions obtained by them are presented. At the end, three different structures of nonlinear thermostat models are designed and the results are examined.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/64ad6e197f94481fa99222cc5e1ed2d7 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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