Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem
The thermistor model captures the complex interaction between heat dissipation, electrical current conduction, and Joule heat generation. Our research examines the diverse properties and implications of employing fractional calculus in the analysis with a focus on fixed-point principles. This paper addresses the existence and uniqueness of solutions to a variable order Caputo fractional thermistor problem by applying Schauder’s fixed-point theorem.
Authors
- Sandra Pinelas (ORCID: https://orcid.org/0000-0002-0984-0159)
- Kadda Maazouz (ORCID: https://orcid.org/0000-0003-2237-2713)
- John R. Graef (ORCID: https://orcid.org/0000-0002-8149-4633)
- Zineb Bellabes (ORCID: https://orcid.org/0009-0000-8893-1085)
- Naima Boussekkine
Institutions
- Université Oran 1 Ahmed Ben Bella (DZ)
- University of Tennessee at Chattanooga (US)
- Université IBN Khaldoun Tiaret (DZ)
- Ahmed Zabana University - Relizane (DZ)
- University of Aveiro (PT)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-02-22
- DOI
- https://doi.org/10.3390/fractalfract9030139
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00