Existence results for a general class of sequential hybrid fractional differential equations

被引：15
|
作者：
Khan, Rahmat Ali [1 ,2 ]
Gul, Shaista [1 ]
Jarad, Fahd [3 ,4 ]
Khan, Hasib [2 ]
机构：
[1] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan
[2] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal Dir Upper, Khyber Pakhtunk, Pakistan
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Boundary value problems; Sequential hybrid fractional differential equations; Three point boundary conditions; Existence and uniqueness results; Stability analysis; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1186/s13662-021-03444-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.
引用
收藏
页数：14
相关论文
共 50 条
  • [41] Existence and Properties of Solutions for a Class of Fractional Differential Equations
    Yong-qiang XU
    Shu-hong CHEN
    Zhong TAN
    Acta Mathematicae Applicatae Sinica, 2021, 37 (03) : 477 - 484
  • [42] Existence and uniqueness for a class of iterative fractional differential equations
    Ibrahim, Rabha W.
    Kilicman, Adem
    Damag, Faten H.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 13
  • [43] Existence and Properties of Solutions for a Class of Fractional Differential Equations
    Yong-qiang Xu
    Shu-hong Chen
    Zhong Tan
    Acta Mathematicae Applicatae Sinica, English Series, 2021, 37 : 477 - 484
  • [44] Existence and uniqueness for a class of iterative fractional differential equations
    Rabha W Ibrahim
    Adem Kılıçman
    Faten H Damag
    Advances in Difference Equations, 2015
  • [45] On the existence and uniqueness of solutions of a class of fractional differential equations
    Ibrahim, Rabha W.
    Momani, Shaher
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 1 - 10
  • [46] On the existence for a class of periodic boundary value problems of nonlinear fractional hybrid differential equations
    Zhao, Yige
    APPLIED MATHEMATICS LETTERS, 2021, 121
  • [47] On the global existence of solutions to a class of fractional differential equations
    Baleanu, Dumitru
    Mustafa, Octavian G.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (05) : 1835 - 1841
  • [48] On the solution set for a class of sequential fractional differential equations
    Baleanu, Dumitru
    Mustafa, Octavian G.
    Agarwal, Ravi P.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (38)
  • [49] Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives
    Houas, Mohamed
    Alzabut, Jehad
    Khuddush, Mahammad
    INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (02): : 224 - 235
  • [50] Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay
    Karami, Hadi
    Babakhani, Azizollah
    Baleanu, Dumitru
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345