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On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions.
- Source :
-
Journal of Function Spaces . 3/24/2022, p1-11. 11p. - Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODEL theory
*CONES
*THERMOSTAT
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 155931119
- Full Text :
- https://doi.org/10.1155/2022/8053620