Global existence of solutions for a fractional Caputo nonlocal thermistor problem

Advances in Difference Equations

Moulay Rchid Sidi Ammi²  Ismail Jamiai²  Delfim F. M. Torres³ 

[1] D Unit CIDMA, University of Aveiro, Aveiro, Portugal;Department of Mathematics, AMNEA Group, Faculty of Sciences and Techniques, Moulay Ismail University, Errachidia, Morocco;Department of Mathematics, R&

关键词: fractional derivatives;    fractional PDE;    local existence;    global existence;    fixed point theorem;    26A33;    35A01;    58J20;   

DOI  :  10.1186/s13662-017-1418-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We begin by proving a local existence result for a fractional Caputo nonlocal thermistor problem. Then additional existence and continuation theorems are obtained, ensuring global existence of solutions.

【 授权许可】

CC BY