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
相关论文
共 50 条
  • [1] Existence, uniqueness and stability analysis of a tempered fractional order thermistor boundary value problems
    Mahammad Khuddush
    K. Rajendra Prasad
    The Journal of Analysis, 2023, 31 : 85 - 107
  • [2] Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems
    Zaky, Mahmoud A.
    APPLIED NUMERICAL MATHEMATICS, 2019, 145 : 429 - 457
  • [3] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION FOR A CLASS OF FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS
    Babakhani, Azizollah
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 5 (01): : 50 - 58
  • [4] Analysis of existence, uniqueness, and stability for nonlinear fractional boundary value problems with novel integral boundary conditions
    Poovarasan, R.
    Samei, Mohammad Esmael
    Govindaraj, V.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025,
  • [5] Existence of solutions for an infinite system of tempered fractional order boundary value problems in the spaces of tempered sequences
    Mahammad, Khuddush
    Kapula, Rajendra Prasad
    Doddi, Leela
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 : 433 - 452
  • [6] Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions
    Khuddush, Mahammad
    Benyoub, Mohammed
    Kathun, Sarmila
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2024, 12 (01): : 100 - 116
  • [7] Existence and stability results for nonlocal boundary value problems of fractional order
    Vedat Suat Ertürk
    Amjad Ali
    Kamal Shah
    Pushpendra Kumar
    Thabet Abdeljawad
    Boundary Value Problems, 2022
  • [8] Existence and stability results for nonlocal boundary value problems of fractional order
    Erturk, Vedat Suat
    Ali, Amjad
    Shah, Kamal
    Kumar, Pushpendra
    Abdeljawad, Thabet
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [9] Existence, uniqueness and Hyers–Ulam stability of a fractional order iterative two-point boundary value Problems
    K. Rajendra Prasad
    Mahammad Khuddush
    D. Leela
    Afrika Matematika, 2021, 32 : 1227 - 1237
  • [10] Existence and uniqueness of solutions for p-Laplacian fractional order boundary value problems
    Khan, Rahmat Ali
    Khan, Aziz
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (04): : 205 - 215
12345