On System of Nonlinear Sequential Hybrid Fractional Differential Equations

被引:5
作者
Awadalla, Muath [1 ]
Abuasbeh, Kinda [1 ]
机构
[1] King Faisal Univ, Coll Sci, Dept Math & Stat, Al Hufuf 31982, Al Ahsa, Saudi Arabia
关键词
BOUNDARY-VALUE-PROBLEMS; COUPLED SYSTEM; EXISTENCE;
D O I
10.1155/2022/8556578
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study, the existence and uniqueness of the solution for a system consisting of sequential fractional differential equations that contain Caputo-Hadamard (CH) derivative are verified. To study the existence and uniqueness of these solutions, some of the most important results from the fixed point theorems in Banach space were used. A practical example is also given to support the theoretical side that was obtained.
引用
收藏
页数:8
相关论文
共 38 条
[1]   Stability of Caputo fractional differential equations by Lyapunov functions [J].
Agarwal, Ravi ;
O'Regan, Donal ;
Hristova, Snezhana .
APPLICATIONS OF MATHEMATICS, 2015, 60 (06) :653-676
[2]   On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions [J].
Ahmad, Bashir ;
Alsaedi, Ahmed ;
Agarwal, Ravi P. ;
Alsharif, Alaa .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) :1725-1737
[3]   Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 :615-622
[4]   On Antiperiodic Nonlocal Three-Point Boundary Value Problems for Nonlinear Fractional Differential Equations [J].
Ahmad, Bashir ;
Losada, Jorge ;
Nieto, Juan J. .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[5]   An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[6]   Boundary Value Problems for a Class of Sequential Integrodifferential Equations of Fractional Order [J].
Ahmad, Bashir ;
Nieto, Juan J. .
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[7]   Sequential fractional differential equations with three-point boundary conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) :3046-3052
[8]   Anti-periodic fractional boundary value problems [J].
Ahmad, Bashir ;
Nieto, Juan J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1150-1156
[9]   A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions [J].
Aljoudi, Shorog ;
Ahmad, Bashir ;
Nieto, Juan J. ;
Alsaedi, Ahmed .
CHAOS SOLITONS & FRACTALS, 2016, 91 :39-46
[10]  
Alsaedi A., 2009, NONLINEAR STUD, V16, P415