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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/139 |
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| author | John R. Graef Kadda Maazouz Sandra Pinelas Zineb Bellabes Naima Boussekkine |
| author_facet | John R. Graef Kadda Maazouz Sandra Pinelas Zineb Bellabes Naima Boussekkine |
| author_sort | John R. Graef |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5e3f4db2df90494d928bf0a98b8618fc |
| institution | OA Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-5e3f4db2df90494d928bf0a98b8618fc2025-08-20T02:11:11ZengMDPI AGFractal and Fractional2504-31102025-02-019313910.3390/fractalfract9030139Existence of Solutions to the Variable Order Caputo Fractional Thermistor ProblemJohn R. Graef0Kadda Maazouz1Sandra Pinelas2Zineb Bellabes3Naima Boussekkine4Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USADepartment of Mathematics, University of Ibn Khaldoun, Tiaret 14000, AlgeriaDepartamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, PortugalLaboratory of Fundamental and Applied Mathematics (LMFAO), University of Oran 1, Oran 31000, AlgeriaDepartment of Mathematics, Faculty of Science and Technology, Relizane University, Relizane 48000, AlgeriaThe 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.https://www.mdpi.com/2504-3110/9/3/139Caputo derivativethermistor problemvariable order fractional operatorsfixed point theorem |
| spellingShingle | John R. Graef Kadda Maazouz Sandra Pinelas Zineb Bellabes Naima Boussekkine Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem Fractal and Fractional Caputo derivative thermistor problem variable order fractional operators fixed point theorem |
| title | Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem |
| title_full | Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem |
| title_fullStr | Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem |
| title_full_unstemmed | Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem |
| title_short | Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem |
| title_sort | existence of solutions to the variable order caputo fractional thermistor problem |
| topic | Caputo derivative thermistor problem variable order fractional operators fixed point theorem |
| url | https://www.mdpi.com/2504-3110/9/3/139 |
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