DISCRETE FRACTIONAL DIFFUSION MODEL WITH TWO MEMORY TERMS

被引：2
|
作者：
Qin, Yan-Mei [1 ,2 ]
Kong, Hua [1 ,2 ]
Wu, Kai-Teng [1 ,2 ]
Zhu, Xiao-Ming [3 ]
机构：
[1] Neijiang Normal Univ, Key Lab Numer Simulat Sichuan Prov, Sichuan, Peoples R China
[2] Neijiang Normal Univ, Coll Math & Informat Sci, Sichuan, Peoples R China
[3] ZhouKou Normal Univ, Sch Math & Stat, Zhoukou, Peoples R China
来源：
THERMAL SCIENCE | 2015年 / 19卷 / 04期
基金：
中国国家自然科学基金;
关键词：
discrete fractional diffusion equation of two terms; discrete fractional difference; POROUS-MEDIA; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; LOGISTIC MAP; FLOW; CALCULUS; CHAOS;
D O I：
10.2298/TSCI1504177Q
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Fractional calculus can always exactly describe anomalous diffusion. Recently the discrete fractional difference is becoming popular due to the depiction of non-linear evolution on discrete time domains. This paper proposes a diffusion model with two terms of discrete fractional order. The numerical simulation is given to reveal various diffusion behaviors.
引用
收藏
页码：1177 / 1181
页数：5
相关论文
共 50 条
  • [31] Solution of convection-diffusion problems with the memory terms
    Kacur, J
    COMPUTATIONAL METHODS FOR FLOW AND TRANSPORT IN POROUS MEDIA, 2000, 17 : 93 - 106
  • [32] Solution of convection-diffusion problems with the memory terms
    Kacur, J
    APPLIED NONLINEAR ANALYSIS, 1999, : 199 - 212
  • [33] Local Stability, Global Stability, and Simulations in a Fractional Discrete Glycolysis Reaction-Diffusion Model
    Hamadneh, Tareq
    Hioual, Amel
    Alsayyed, Omar
    AL-Khassawneh, Yazan Alaya
    Al-Husban, Abdallah
    Ouannas, Adel
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [34] General Methods to Synchronize Fractional Discrete Reaction-Diffusion Systems Applied to the Glycolysis Model
    Hamadneh, Tareq
    Hioual, Amel
    Saadeh, Rania
    Abdoon, Mohamed A.
    Almutairi, Dalal Khalid
    Khalid, Thwiba A.
    Ouannas, Adel
    FRACTAL AND FRACTIONAL, 2023, 7 (11)
  • [35] The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory
    Akdemir, Ahmet Ocak
    Binh, Ho Duy
    O'Regan, Donal
    Nguyen, Anh Tuan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 1076 - 1095
  • [36] Discrete model of a dynamo with diffusion
    Poezd, Aleksey D.
    Galeeva, Roza
    Sokolov, Dmitril D.
    Ruzmaikin, Aleksander A.
    CHAOS, 1992, 2 (02)
  • [37] NONOSCILLATORY SOLUTIONS OF DISCRETE FRACTIONAL ORDER EQUATIONS WITH POSITIVE AND NEGATIVE TERMS
    Alzabut, Jehad
    Grace, Said Rezk
    Selvam, A. George Maria
    Janagaraj, Rajendran
    MATHEMATICA BOHEMICA, 2023, 148 (04): : 461 - 479
  • [38] Fractional diffusion with two time scales
    Baeumer, B.
    Meerschaert, M. M.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 373 : 237 - 251
  • [39] A discrete SIS model of fractional order
    Cuchta, Tom
    Streipert, Sabrina
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2021, 11 (3-4) : 275 - 286
  • [40] Two discrete fractional integral operators revisited
    Stein, EM
    Wainger, S
    JOURNAL D ANALYSE MATHEMATIQUE, 2002, 87 (1): : 451 - 479
12345