DETERMINATION OF AN UNKNOWN SOURCE TERM TEMPERATURE DISTRIBUTION FOR THE SUB-DIFFUSION EQUATION AT THE INITIAL AND FINAL DATA

被引：0
|
作者：
Kirane, Mokhtar [1 ,2 ,3 ]
Samet, Bessem [4 ]
Torebek, Berikbol T. [5 ,6 ]
机构：
[1] Univ La Rochelle, Fac Sci Pole Sci & Technol, LaSIE, Ave M Crepeau, F-17042 La Rochelle, France
[2] King Abdulaziz Univ, Dept Math, Fac Sci, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[3] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
[4] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia
[5] Inst Math & Math Modeling, Dept Differential Equat, 125 Pushkin Str, Alma Ata 050010, Kazakhstan
[6] Al Farabi Kazakh Natl Univ, 71 Al Farabi Ave, Alma Ata 050040, Kazakhstan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Inverse problem; involution; nonlocal sub-diffusion equation; fractional-time diffusion equation; DENSITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] ANISOTROPIC EQROT 1 FINITE ELEMENT APPROXIMATION FOR A MULTI-TERM TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION
    Fan, Huijun
    Zhao, Yanmin
    Wang, Fenling
    Shi, Yanhua
    Liu, Fawang
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023, 41 (03): : 439 - 440
  • [42] Reconstruction of a Source Term in a Parabolic Integro-Differential Equation from Final Data
    Kasemets, Kairi
    Janno, Jaan
    MATHEMATICAL MODELLING AND ANALYSIS, 2011, 16 (02) : 199 - 219
  • [43] Determination of source term for the fractional Rayleigh–Stokes equation with random data
    Tran Thanh Binh
    Dumitru Baleanu
    Nguyen Hoang Luc
    Nguyen-H Can
    Journal of Inequalities and Applications, 2019
  • [44] Simultaneous Determination of a Source Term and Diffusion Concentration for a Multi-Term Space-Time Fractional Diffusion Equation
    Malik, Salman A.
    Ilyas, Asim
    Samreen, Arifa
    MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (03) : 411 - 431
  • [45] DETERMINATION OF A SPACEWISE DEPENDENT HEAT SOURCE IN BIHARMONIC HEAT EQUATION FROM FINAL TEMPERATURE MEASUREMENTS
    Ismailov, Mansur i.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2024, 50 (01): : 126 - 132
  • [46] SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL VALUE OF THE MULTI-TERM TIME FRACTIONAL SLOW DIFFUSION EQUATION
    Qiao, Li
    Li, Ruo-Hong
    Yang, Fan
    Li, Xiao-Xiao
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (04): : 1903 - 1927
  • [47] Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation
    Oulmelk, A.
    Afraites, L.
    Hadri, A.
    Zaky, M. A.
    Hendy, A. S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 156 : 195 - 206
  • [48] Application of a hybrid pseudospectral method to a new two-dimensional multi-term mixed sub-diffusion and wave-diffusion equation of fractional order
    Shah, Farman Ali
    Kamran
    Santina, Dania
    Mlaiki, Nabil
    Aljawi, Salma
    NETWORKS AND HETEROGENEOUS MEDIA, 2024, 19 (01) : 44 - 85
  • [49] High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation
    Baojin Su
    Ziwen Jiang
    Advances in Difference Equations, 2020
  • [50] Determination of source term for the fractional Rayleigh-Stokes equation with random data
    Tran Thanh Binh
    Baleanu, Dumitru
    Nguyen Hoang Luc
    Nguyen-H Can
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
12345