An Outlook on Hybrid Fractional Modeling of a Heat Controller with Multi-Valued Feedback Control

Autor:	Shorouk M. Al-Issa, Ahmed M. A. El-Sayed, Hind H. G. Hashem
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Caputo fractional derivative heat controller model multi-valued boundary value problems multi-valued feedback control Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 10, p 759 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7100759
Popis:	In this study, we extend the investigations of fractional-order models of thermostats and guarantee the solvability of hybrid Caputo fractional models for heat controllers, satisfying some nonlocal hybrid multi-valued conditions with multi-valued feedback control, which involves the Chandrasekhar kernel, by using hybrid Dhage’s fixed point theorem. A part of this study is dedicated to transforming this problem into an equivalent integral representation and then proving some existence results to achieve our aims. Furthermore, the continuous dependence of the unique solution on the control variable and on the set of selections will be discussed. Moreover, we provide an illustration to support our results.
Databáze:	Directory of Open Access Journals
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