On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions
Journal of Function Spaces, cilt.2022, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2022
- Basım Tarihi: 2022
- Doi Numarası: 10.1155/2022/8053620
- Dergi Adı: Journal of Function Spaces
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Uşak Üniversitesi Adresli: Hayır
Özet
In the current manuscript, we intend to investigate the existence, uniqueness, and the stability of positive solution in relation to a fractional version of variable order thermostat model equipped with nonlocal boundary values in the Caputo sense. In fact, we will get help from the constant piece-wise functions for transforming our variable order model into an auxiliary standard model of thermostat. By Guo-Krasnoselskii's fixed point theorem on cones, we derive the required conditions ensuring the existence property for positive solutions. An example is illustrated to examine the validity of the observed results.