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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Bibliographic Details
Published in:Advances in difference equations 2021-03, Vol.2021 (1), p.1-11, Article 162
Main Authors: Agarwal, P., Sidi Ammi, M. R., Asad, J.
Format: Article
Language:English
Subjects:
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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Description
Summary: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