Positive solutions for higher-order singular fractional differential system with coupled integral boundary conditions

被引:0
|
作者
Ying Wang
Junwei Zhang
机构
[1] Linyi University,School of Science
[2] Shanghai University of Finance and Economics,Institute of Finance and Economics
关键词
positive solutions; upper and lower solutions; fractional differential system; coupled integral boundary conditions; singular; 26A33; 34B16; 34B18;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the positive solutions of a higher-order singular fractional differential system with coupled integral boundary conditions. The conditions for the existence of at least one positive solution are established together with the estimates of the lower and upper bounds of the solution at any instant of time. Our results are based on the method of upper and lower solutions and the Schauder fixed point theorem. In the end, an example is worked out to illustrate our main results.
引用
收藏
相关论文
共 50 条
  • [31] Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
    Li, Hongdan
    Liu, Lishan
    Wu, Yonghong
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 15
  • [32] Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
    Hongdan Li
    Lishan Liu
    Yonghong Wu
    Boundary Value Problems, 2015
  • [33] Positive solutions of singular Caputo fractional differential equations with integral boundary conditions
    Wei, Zhongli
    Pang, Changci
    Ding, Youzheng
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) : 3148 - 3160
  • [34] EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Jin, Jingfu
    Liu, Xiping
    Jia, Mei
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [35] Positive solutions for higher order differential equations with integral boundary conditions
    Yude Ji
    Yanping Guo
    Yukun Yao
    Boundary Value Problems, 2015
  • [36] Positive solutions for higher order differential equations with integral boundary conditions
    Ji, Yude
    Guo, Yanping
    Yao, Yukun
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 11
  • [37] Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
    Günendi Mustafa
    Yaslan İsmail
    Fractional Calculus and Applied Analysis, 2016, 19 : 989 - 1009
  • [38] POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR MULTI-POINT FRACTIONAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Gunendi, Mustafa
    Yaslan, Ismail
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (04) : 989 - 1009
  • [39] SOLVABILITY OF LANGEVIN FRACTIONAL DIFFERENTIAL EQUATION OF HIGHER-ORDER WITH INTEGRAL BOUNDARY CONDITIONS
    El Allaoui, Abdelati
    Mbarki, Lamine
    Allaoui, Youssef
    Sousa, J. Vanterler da C.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 316 - 332
  • [40] Positive solutions for singular second order differential equations with integral boundary conditions
    Liu, Lishan
    Hao, Xinan
    Wu, Yonghong
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) : 836 - 847