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
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 11期
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
下载
收藏
页码：12007 / 12017
页数：11
相关论文
共 50 条
  • [1] Existence and uniqueness solutions for nonlinear fractional differential equations with fractional integral boundary conditions
    Abdul-Razaq, N. A.
    Mohammed, H. S.
    Housens, N. L.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (07) : 1831 - 1840
  • [2] Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
    Liu, Xiping
    Li, Fanfan
    Jia, Mei
    Zhi, Ertao
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] Existence and uniqueness of solutions to fractional differential equations with fractional boundary conditions
    Saha, Kiran Kumar
    Sukavanam, N.
    Pan, Sonjoy
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 72 : 147 - 155
  • [4] Analysis of some Katugampola fractional differential equations with fractional boundary conditions
    Lupinska, Barbara
    Schmeidel, Ewa
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (06) : 7269 - 7279
  • [5] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    Sharifov, Yagub A.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 125 - 134
  • [6] Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
    Zhang, Haiyan
    Li, Yaohong
    Lu, Wei
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2434 - 2447
  • [7] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
    Ben Ali, Khaled
    Ghanmi, Abdeljabbar
    Kefi, Khaled
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [8] Existence of solutions for fractional differential equations with integral boundary conditions
    Yan, Rian
    Sun, Shurong
    Lu, Hongling
    Zhao, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [9] Existence of solutions for fractional differential equations with integral boundary conditions
    Rian Yan
    Shurong Sun
    Hongling Lu
    Yan Zhao
    Advances in Difference Equations, 2014
  • [10] Existence of solutions for sequential fractional differential equations with boundary conditions
    Sun, Ying
    Han, Zhenlai
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 434 - 439
12345