STUDY IN FRACTIONAL DIFFERENTIAL EQUATIONS BY MEANS OF TOPOLOGICAL DEGREE METHODS

被引：55
|
作者：
Wang, JinRong [1 ]
Zhou, Yong [2 ]
Wei, Wei [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2012年 / 33卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Condensing maps; Data dependence; Existence and uniqueness; Fractional differential equations; Topological degree; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; POSITIVE SOLUTION; EXISTENCE; UNIQUENESS; INCLUSIONS;
D O I：
10.1080/01630563.2011.631069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study some class of fractional differential equations involving the Caputo fractional derivative. By using a fixed point theorem on topological degree for condensing maps via a priori estimate method, some sufficient conditions for the existence of solutions are presented. Uniqueness and data dependence results of solutions are also deduced.
引用
收藏
页码：216 / 238
页数：23
相关论文
共 50 条
  • [1] Study of an implicit type coupled system of fractional differential equations by means of topological degree theory
    Sarwar, Muhammad
    Ali, Anwar
    Zada, Mian Bahadur
    Ahmad, Hijaz
    Nofal, Taher A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [2] Study of an implicit type coupled system of fractional differential equations by means of topological degree theory
    Muhammad Sarwar
    Anwar Ali
    Mian Bahadur Zada
    Hijaz Ahmad
    Taher A. Nofal
    Advances in Difference Equations, 2021
  • [3] Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
    Jingli Xie
    Lijing Duan
    Advances in Difference Equations, 2021
  • [4] Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory
    Xie, Jingli
    Duan, Lijing
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [5] Application of Topological Degree Method in Quantitative Behavior of Fractional Differential Equations
    Rahman, Ghaus Ur
    Ahmad, Saeed
    Haq, Fazal
    FILOMAT, 2020, 34 (02) : 421 - 432
  • [6] Existence criteria for fractional differential equations using the topological degree method
    Nisar, Kottakkaran Sooppy
    Alsaeed, Suliman
    Kaliraj, Kalimuthu
    Ravichandran, Chokkalingam
    Albalawi, Wedad
    Abdel-Aty, Abdel-Haleem
    AIMS MATHEMATICS, 2023, 8 (09): : 21914 - 21928
  • [7] Existence of solutions for fractional difference equations via topological degree methods
    He, Jia Wei
    Zhang, Lu
    Zhou, Yong
    Ahmad, Bashir
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [8] Existence of solutions for fractional difference equations via topological degree methods
    Jia Wei He
    Lu Zhang
    Yong Zhou
    Bashir Ahmad
    Advances in Difference Equations, 2018
  • [9] Existence and uniqueness of solutions for coupled system of fractional differential equations involving proportional delay by means of topological degree theory
    Ali, Anwar
    Sarwar, Muhammad
    Zada, Mian Bahadur
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [10] Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory
    Shah, Kamal
    Hussain, Wajid
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (12) : 1355 - 1372
12345