EXISTENCE AND UNIQUENESS RESULTS FOR A TWO-POINT NONLINEAR BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE ORDER

被引：0
作者：
Awad, Yahia [1 ]
Fakih, Hussein [1 ,2 ]
机构：
[1] Lebanese Int Univ, Fac Arts & Sci, Dept Math & Phys, Beirut, Lebanon
[2] Lebanese Univ, Sch Sci, Dept Math, Khawarizmi Lab Math & Applicat, Beirut, Lebanon
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2024年 / 14卷 / 03期
关键词：
Caputo derivatives and integrals of variable-order; Boundary value problems; Existence and uniqueness of solutions; Piecewise constant functions; Green's function; INITIAL-VALUE PROBLEM; DERIVATIVES; STABILITY; OPERATORS; MODELS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the existence and uniqueness of solutions for a two-point boundary value problem of Caputo fractional differential equation of variable order. The results are obtained by means of Banach's and Krasnoselskii's fixed point theorems. In addition, the obtained results are illustrated with the aid of a numerical example.
引用
收藏
页码：1068 / 1084
页数：17
相关论文
共 32 条
[1]  
Agarwal R.P., 2001, FIXED POINT THEORY A
[2]  
Agarwal RP, 2009, GEORGIAN MATH J, V16, P401
[3]   Some generalized fractional calculus operators and their applications in integral equations [J].
Agrawal, Om P. .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (04) :700-711
[4]   A Caputo fractional derivative of a function with respect to another function [J].
Almeida, Ricardo .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 44 :460-481
[5]   UNIQUENESS OF SOLUTIONS TO INITIAL VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE-ORDER [J].
An, Jiahui ;
Chen, Pengyu .
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (03) :607-623
[6]  
Awad Y, 2024, TWMS J APPL ENG MATH, V14, P79
[7]  
Banas J., 1980, Measure of Noncompactness in Banach Space, V60
[8]   On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique [J].
Benkerrouche, Amar ;
Souid, Mohammed Said ;
Hakem, Ali ;
Jarad, Fahd .
ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01)
[9]   A fixed point theorem of Krasnoselskii-Schaefer type [J].
Burton, TA ;
Kirk, C .
MATHEMATISCHE NACHRICHTEN, 1998, 189 :23-31
[10]   Mechanics with variable-order differential operators [J].
Coimbra, CFM .
ANNALEN DER PHYSIK, 2003, 12 (11-12) :692-703
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