Fractional Order Nonlocal Thermistor Boundary Value Problem on Time Scales

Jehad Alzabut ^[2] ; Mahammad Khuddush ^[3] ; Abdelkrim Salim ^[4] ; Sina Etemad ^[5] ; Shahram Rezapour ^[1]
1. [1] China Medical University
  
  China Medical University
  
  Taiwán
2. [2] Prince Sultan University & OST˙IM Technical University
3. [3] Chegg India Pvt. Ltd.
4. [4] Hassiba Benbouali University & Djillali Liabes University of Sidi Bel-Abbes
5. [5] Azarbaijan Shahid Madani University & Al-Ayen University
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Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
Idioma: inglés
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Resumen
- This paper investigates the existence, uniqueness, and continuous dependence of solutions to fractional order nonlocal thermistor two-point boundary value problems on time scales. We employ the Schauder fixed point theorem to establish the existence of solutions, and the contraction principle to prove uniqueness. We also obtain a result on the continuous dependence of solutions. Finally, we present several examples to illustrate our findings. This work is the first to study a fractional model of thermistor on Department of Medical Research,time scales, and it makes a significant contribution to the field of modeling on time scales. The results of this paper can be used to develop new and improved mathematical models for thermistors, which can be used to design more efficient and reliable thermistor-based devices.