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arXiv · 1807.01529

Analysis of fractional integro-differential equations of thermistor type

Moulay Rchid Sidi Ammi·Delfim F. M. Torres
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Abstract

We survey methods and results of fractional differential equations in which an unknown function is under the operation of integration and/or differentiation of fractional order. As an illustrative example, we review results on fractional integral and differential equations of thermistor type. Several nonlocal problems are considered: with Riemann-Liouville, Caputo, and time-scale fractional operators. Existence and uniqueness of positive solutions are obtained through suitable fixed-point theorems in proper Banach spaces. Additionally, existence and continuation theorems are given, ensuring global existence.

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Moulay Rchid Sidi Ammi, Delfim F. M. Torres. 2018-07-04. Analysis of fractional integro-differential equations of thermistor type. https://doi.org/10.1515/9783110571622-013

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