NONEXPANSIVE FIXED POINT TECHNIQUE USED TO SOLVE BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

被引:0
|
作者
Lauran, Monica [1 ]
Berinde, Vasile [1 ]
机构
[1] N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430122, Romania
来源
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2011年 / 57卷
关键词
boundary value problem; fractional differential equation; Caputo fractional derivative; nonexpansive operator; fixed point; APPROXIMATION;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, by using the technique of nonexpansive operators we shall establish sufficient conditions for the existence of solutions for a class of boundary value problems for fractional differential equations involving the Caputo fractional derivative and nonlinear integral boundary value conditions.
引用
收藏
页码:137 / 149
页数:13
相关论文
共 50 条
  • [21] Solving boundary value problems for delay differential equations by a fixed-point method
    Bartoszewski, Z.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 1576 - 1590
  • [22] Eigenvalue interval for multi-point boundary value problems of fractional differential equations
    Jiang, Weihua
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4570 - 4575
  • [23] Three-point boundary value problems of fractional functional differential equations with delay
    Yanan Li
    Shurong Sun
    Dianwu Yang
    Zhenlai Han
    Boundary Value Problems, 2013
  • [24] Three-point boundary value problems of fractional functional differential equations with delay
    Li, Yanan
    Sun, Shurong
    Yang, Dianwu
    Han, Zhenlai
    BOUNDARY VALUE PROBLEMS, 2013,
  • [25] Positive Solutions of m-Point Boundary Value Problems for Fractional Differential Equations
    Zhi-Wei Lv
    Advances in Difference Equations, 2011
  • [26] Positive Solutions of m-Point Boundary Value Problems for Fractional Differential Equations
    Lv, Zhi-Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [27] Boundary Value Problems for Nonlinear Fractional Differential Equations With Ψ-Caputo Fractional
    Elomari, M.
    Bourhim, F. E.
    Kassidi, A.
    El Mfadel, A.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 15 - 15
  • [29] Boundary value problems for fractional differential equations with nonlocal boundary conditions
    Yan, Rian
    Sun, Shurong
    Sun, Ying
    Han, Zhenlai
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [30] Boundary value problems for fractional differential equations with nonlocal boundary conditions
    Rian Yan
    Shurong Sun
    Ying Sun
    Zhenlai Han
    Advances in Difference Equations, 2013