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

页码：85 / 107

页数：23

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