EXISTENCE OF SOLUTION TO A NONLOCAL CONFORMABLE FRACTIONAL THERMISTOR PROBLEM

被引:6
|
作者
Ammi, Moulay Rchid Sidi [1 ]
Torres, Delfim F. M. [2 ]
机构
[1] Moulay Ismail Univ, Fac Sci & Tech, AMNEA Grp, Dept Math, BP 509, Errachidia, Morocco
[2] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal
关键词
Existence of solutions; fractional differential equations; conformable fractional derivatives; CALCULUS;
D O I
10.31801/cfsuasmas.501582
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study a nonlocal thermistor problem for fractional derivatives in the conformable sense. Classical Schauder's fixed point theorem is used to derive the existence of a tube solution.
引用
收藏
页码:1061 / 1072
页数:12
相关论文
共 50 条
  • [21] Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem
    Darzi, Rahmat
    Agheli, Bahram
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2015, 3 (02): : 123 - 133
  • [22] Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces
    H. El-Houari
    L. S. Chadli
    H. Moussa
    Advances in Operator Theory, 2022, 7
  • [23] EXISTENCE STABILITY, BLOW UP OF SOLUTION FOR THERMISTOR PROBLEM
    ANTONTSEV, SN
    CHIPOT, M
    DOKLADY AKADEMII NAUK, 1992, 324 (02) : 309 - 313
  • [24] Existence of Solutions to the Variable Order Caputo Fractional Thermistor Problem
    Graef, John R.
    Maazouz, Kadda
    Pinelas, Sandra
    Bellabes, Zineb
    Boussekkine, Naima
    FRACTAL AND FRACTIONAL, 2025, 9 (03)
  • [25] Fractional Order Nonlocal Thermistor Boundary Value Problem on Time Scales
    Alzabut, Jehad
    Khuddush, Mahammad
    Salim, Abdelkrim
    Etemad, Sina
    Rezapour, Shahram
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (04)
  • [26] Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives
    Sidi Ammi, Moulay Rchid
    Torres, Delfim F. M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (05) : 1507 - 1516
  • [27] EXISTENCE AND STABILITY THEORY OF PANTOGRAPH CONFORMABLE FRACTIONAL DIFFERENTIAL PROBLEM
    Sher, Muhammad
    Khan, Aziz
    Shah, Kamal
    Abdeljawad, Thabet
    THERMAL SCIENCE, 2023, 27 (Special Issue 1): : S237 - S244
  • [28] Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition in Banach spaces
    Wahash, Hanan A.
    Abdo, Mohammed S.
    Panchal, Satish K.
    Bhairat, Sandeep P.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (03): : 521 - 536
  • [29] Existence of almost periodic solution for nonlocal fractional Cauchy problem with integral initial condition
    Maghsoodi, S.
    Neamaty, A.
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (03) : 163 - 170
  • [30] Existence of renormalized solutions for nonlocal thermistor problem via weak convergence of truncations
    Dahi, Ibrahim
    Ammi, Moulay Rchid Sidi
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (07) : 3521 - 3540