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

Advances in Difference Equations

article

Agarwal, P.¹  Sidi Ammi, M. R.⁵  Asad, J.⁶ 

[1] Department of Mathematics, Anand International College of Engineering;Nonlinear Dynamics Research Center (NDRC), Ajman University;International Center for Basic and Applied Sciences;Department of Mathematics, Harish-Chandra Research Institute;MAIS Laboratory, AMNEA Group, Moulay Ismail University of Meknes;Department of Physics, Faculty of Applied Science, Palestine Technical University-PTUK

关键词: Time scale calculus;    Conformable fractional derivative;    Existence and uniqueness;    Fixed point theorem;   

DOI  :  10.1186/s13662-021-03319-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY