Work

Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem

Year: 2025

Type: article

Abstract: 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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9030139

Authors: John R. Graef, Kadda Maazouz, Sandra Pinelas, Zineb Bellabes, Naima Boussekkine

Institutions: University of Tennessee at Chattanooga, Université IBN Khaldoun Tiaret, University of Aveiro, Université Oran 1 Ahmed Ben Bella, Ahmed Zabana University - Relizane

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W4407878397

FWCI: 3.753

Cites: 30

Cited by: 2

Related to: 10