Existence, uniqueness and stability analysis of a tempered fractional order thermistor boundary value problems

被引：14
|
作者：
Khuddush, Mahammad [1 ]
Prasad, K. Rajendra [2 ]
机构：
[1] Dr Lankapalli Bullayya Coll Engn, Dept Math, Visakhapatnam 530013, Andhra Pradesh, India
[2] Andhra Univ, Coll Sci & Technol, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 01期
关键词：
Thermistor problem; Tempered Caputo fractional derivative; Boundary value problem; Hyers-Ulam stability; Complete metric space; Rus's theorem; DIFFUSION; BVP;
D O I：
10.1007/s41478-022-00438-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive the sufficient conditions for the existence, uniqueness and Hyers-Ulam stability of the tempered fractional order thermistor two-point boundary value problem. Further, we also establish uniqueness of the solution to the addressed problem by using Rus's theorem in a complete metric space.
引用
收藏
页码：85 / 107
页数：23
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