$Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense$

Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense

We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.

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Veröffentlicht in:	Advances in difference equations 2021-03, Vol.2021 (1), p.1-11, Article 162
Hauptverfasser:	Agarwal, P., Sidi Ammi, M. R., Asad, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Conformable fractional derivative Difference and Functional Equations Existence and uniqueness Fixed point theorem Functional Analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Thermistors Time Time scale calculus Uniqueness
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Beschreibung
Zusammenfassung:	We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition on the resistivity function, we establish existence and uniqueness results. The proof is based on the use of Schauder’s point fixed theorem.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03319-7