ON BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Hamidi, M. R. [1 ]
Nyamoradi, N. [1 ]
机构：
[1] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 03期
关键词：
Fractional differential equations; solutions; variational methods; Morse theory; fountain Theorem; EXISTENCE;
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, we study the existence of solutions for a fractional boundary value problem. By using critical point theory and variational methods, we give some new criteria to guarantee that the problems have at least one solution and infinitely many solutions.
引用
收藏
页码：789 / 805
页数：17
相关论文
共 50 条
  • [21] ON A BOUNDARY VALUE PROBLEM FOR A MIXED TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH PARAMETERS
    Yuldashev, Tursun K.
    Kadirkulov, Bakhtiyor J.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2021, 47 (01): : 112 - 123
  • [22] BOUNDARY VALUE PROBLEM FOR HYBRID GENERALIZED HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
    Salim, Abdelkrim
    Ahmad, Bashir
    Benchohra, Mouffak
    Lazreg, Jamal Eddine
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (03): : 379 - 391
  • [23] Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
    Yang, Liu
    Chen, Haibo
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [24] Existence of solutions to boundary value problem for impulsive fractional differential equations
    Bonanno, Gabriele
    Rodriguez-Lopez, Rosana
    Tersian, Stepan
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (03) : 717 - 744
  • [25] BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE ORDER
    Refice, A.
    Ozer, O.
    Souid, M. S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (03): : 1053 - 1067
  • [26] Existence results for a functional boundary value problem of fractional differential equations
    Yumei Zou
    Yujun Cui
    Advances in Difference Equations, 2013 (1)
  • [27] A singular boundary value problem for nonlinear differential equations of fractional order
    Kosmatov N.
    Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 125 - 135
  • [28] Existence of solutions to boundary value problem for impulsive fractional differential equations
    Gabriele Bonanno
    Rosana Rodríguez-López
    Stepan Tersian
    Fractional Calculus and Applied Analysis, 2014, 17 : 717 - 744
  • [29] Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
    Liu Yang
    Haibo Chen
    Advances in Difference Equations, 2011
  • [30] INFINITELY MANY SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Averna, Diego
    Sciammetta, Angela
    Tornatore, Elisabetta
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (06) : 1585 - 1597
12345