Existence and exact asymptotic behaviour of positive solutions for fractional boundary value problem with P-Laplacian operator

被引:7
作者
Khamessi, Bilel [1 ,2 ]
Hamiaz, Adnane [1 ]
机构
[1] Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
[2] Univ Tunis Manar, Fac Sci Tunis, UR Potentiels & Probabilites 11ES22, Tunis, Tunisia
来源
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2019年 / 13卷 / 01期
关键词
Fractional differential equation; Dirichlet problem; positive solution; Schauder fixed point theorem; DIFFERENTIAL-EQUATION;
D O I
10.1080/16583655.2019.1579953
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper deals with existence, uniqueness and global behaviour of a positive solution for the fractional boundary value problem D-beta(psi(x)phi(p)(D(alpha)u)) = a(x)u(sigma) in (0, 1) with the condition lim(x -> 0) D beta-1(psi(x)Phi(p)(D(alpha)u(x))) = lim(x -> 1)psi(x)Phi(p)(D(alpha)u(x)) = 0 and lim(x -> 0) D(alpha-1)u(x) = u(1) = 0, where beta, alpha. (1, 2], Phi(p)(t) = t vertical bar t vertical bar p(-2), p> 1, sigma is an element of(1 - p, p - 1), the differential operator is taken in the Riemann-Liouville sense and psi, a : (0, 1) -> R are non-negative and continuous functions that may are singular at x = 0 or x = 1 and satisfies some appropriate conditions.
引用
收藏
页码:370 / 376
页数:7
相关论文
共 50 条
  • [31] Solvability of fractional boundary value problem with p-Laplacian operator at resonance
    Tengfei Shen
    Wenbin Liu
    Xiaohui Shen
    Advances in Difference Equations, 2013
  • [32] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR INTEGRAL BOUNDARY PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR
    Liang, Sihua
    Zhang, Jihui
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (03) : 953 - 974
  • [33] POSITIVE SOLUTIONS FOR A P-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM
    Li, Dongping
    Chen, Fangqi
    An, Yukun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (02): : 740 - 759
  • [34] Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian
    Hongling Lu
    Zhenlai Han
    Shurong Sun
    Jian Liu
    Advances in Difference Equations, 2013
  • [35] Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian
    Lu, Hongling
    Han, Zhenlai
    Sun, Shurong
    Liu, Jian
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [36] Solvability of fractional boundary value problems with p-Laplacian operator
    Zhang, Bo
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 10
  • [37] Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian
    Liu, Zhonghua
    Ding, Youzheng
    Liu, Chengwei
    Zhao, Caiyi
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [38] Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian
    Zhonghua Liu
    Youzheng Ding
    Chengwei Liu
    Caiyi Zhao
    Advances in Difference Equations, 2020
  • [39] Existence of Solutions of Boundary Value Problems for Fractional Differential Equations with p-Laplacian Operator in Banach Spaces
    Tan, Jing-jing
    Cheng, Cao-zong
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (06) : 738 - 753
  • [40] EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR
    Han, Wang
    Jiang, Jiqiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 351 - 366