Global Existence of Solutions for a Fractional Caputo Nonlocal Thermistor Problem
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
TL;DR
This paper establishes the global existence of solutions for a fractional Caputo nonlocal thermistor problem, extending local results through additional theorems to ensure solutions persist over time.
Contribution
It introduces new existence and continuation theorems that guarantee global solutions for the fractional thermistor problem, advancing the mathematical understanding of such nonlocal models.
Findings
Proved local existence of solutions.
Derived continuation theorems for global existence.
Established conditions for solution persistence over time.
Abstract
We begin by proving a local existence result for a fractional Caputo nonlocal thermistor problem. Then, additional existence and continuation theorems are obtained, ensuring global existence of solutions.
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