Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

TL;DR

This paper investigates a generalized nonlocal thermistor problem involving fractional-order derivatives, establishing conditions for the existence and uniqueness of positive solutions using fixed-point theory.

Contribution

It introduces a new analysis of nonlocal thermistor problems with fractional derivatives, providing rigorous proof of solution existence and uniqueness.

Findings

Existence of positive solutions under certain conditions

Uniqueness of solutions proved using fixed-point theory

Application of fractional derivatives in thermistor modeling

Abstract

In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.