Existence of solutions to nonlinear Katugampola fractional differential equations with mixed fractional boundary conditions

被引:0
|
作者
Lupinska, Barbara [1 ]
机构
[1] Univ Bialystok, Inst Comp Sci, Bialystok, Poland
关键词
fixed-point theorem; Katugampola fractional derivative; mixed boundary value problem; nonlinear fractional differential equations;
D O I
10.1002/mma.8894
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss the existence and the uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value, by using Banach fixed-point theorem. Moreover, we compare obtained results with another two works considering similar problem.
引用
收藏
页码:12007 / 12017
页数:11
相关论文
共 50 条
  • [21] The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
    Dumitru Baleanu
    Hakimeh Mohammadi
    Shahram Rezapour
    [J]. Advances in Difference Equations, 2013
  • [22] EXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
    Benchohra, Mouffak
    Ouaar, Fatima
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (04): : 7 - 15
  • [23] Existence of solutions for impulsive fractional integrodifferential equations with mixed boundary conditions
    Baolin Li
    Haide Gou
    [J]. Advances in Difference Equations, 2017
  • [24] The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
    Baleanu, Dumitru
    Mohammadi, Hakimeh
    Rezapour, Shahram
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [25] Existence results to delay fractional differential equations with nonlinear boundary conditions
    Jankowski, Tadeusz
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9155 - 9164
  • [26] THE EXISTENCE OF SOLUTIONS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS
    Kou, Chunhai
    Zhou, Huacheng
    Wu, Sijia
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2011, VOL 3, PTS A AND B, 2012, : 95 - 104
  • [27] Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces
    Tan, Jingjing
    Cheng, Caozong
    [J]. BOUNDARY VALUE PROBLEMS, 2015,
  • [28] Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
    Zhang, Xingqiu
    Wang, Lin
    Sun, Qian
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 708 - 718
  • [29] Existence of extremal solutions for nonlinear fractional differential equation with nonlinear boundary conditions
    Xie, Wenzhe
    Xiao, Jing
    Luo, Zhiguo
    [J]. APPLIED MATHEMATICS LETTERS, 2015, 41 : 46 - 51
  • [30] A study of existence and multiplicity of positive solutions for nonlinear fractional differential equations with nonlocal boundary conditions
    Bouteraa, Noureddine
    Benaicha, Slimane
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (02): : 361 - 380