On a class of semilinear nonclassical fractional wave equations with logarithmic nonlinearity

被引：5
|
作者：
Vo Van, Au [1 ,2 ]
Thi, Kim Van Ho [3 ]
Nguyen, Anh Tuan [3 ]
机构：
[1] Duy Tan Univ, Inst Fundamental & Appl Sci, Ho Chi Minh City, Vietnam
[2] Duy Tan Univ, Fac Nat Sci, Da Nang, Vietnam
[3] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 14期
关键词：
blow‐ up; fractional calculus; nonlinear problem; well‐ posedness; ASYMPTOTIC-BEHAVIOR; DIFFUSION-EQUATIONS; GLOBAL EXISTENCE; BLOW-UP; REGULARITY; MODELS;
D O I：
10.1002/mma.7466
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the initial boundary value problem for time-fractional subdiffusive equations with Caputo derivative. Our problem has many applications in population dynamics. The source function is given in the logarithmic form. We examine the existence, uniqueness of local solutions, and their ability to continue to a maximal interval of existence. The main tool and analysis here are of applying some Sobolev embedding and some fixed point theorems.
引用
收藏
页码：11022 / 11045
页数：24
相关论文
共 50 条
  • [11] Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
    Tian, Shuying
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 454 (02) : 816 - 828
  • [12] Well-posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity
    Ding, Hang
    Zhou, Jun
    STUDIES IN APPLIED MATHEMATICS, 2022, 149 (02) : 441 - 486
  • [13] A Class of Fourth-order Parabolic Equations with Logarithmic Nonlinearity
    Liao, Menglan
    Li, Qingwei
    TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (04): : 975 - 1003
  • [14] Stability for a class of semilinear fractional stochastic integral equations
    Allan Fiel
    Jorge A León
    David Márquez-Carreras
    Advances in Difference Equations, 2016
  • [15] Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity
    Cui, Zhoujin
    Mao, Zisen
    Zong, Wen
    Zhang, Xiaorong
    Yang, Zuodong
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [16] Stability for a class of semilinear fractional stochastic integral equations
    Fiel, Allan
    Leon, Jorge A.
    Marquez-Carreras, David
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [17] Multiple solutions for a class of fractional logarithmic Schrodinger equations
    He, Siyuan
    Liu, Xiaochun
    PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (06):
  • [18] On Existence and Uniqueness of Solutions for Semilinear Fractional Wave Equations
    Yavar Kian
    Masahiro Yamamoto
    Fractional Calculus and Applied Analysis, 2017, 20 (1) : 117 - 138
  • [19] ON EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR SEMILINEAR FRACTIONAL WAVE EQUATIONS
    Kian, Yavar
    Yamamoto, Masahiro
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (01) : 117 - 138
  • [20] Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
    Ji, Shanming
    Yin, Jingxue
    Cao, Yang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (10) : 5446 - 5464
12345