MULTI-TERM FRACTIONAL BOUNDARY VALUE PROBLEMS WITH FOUR-POINT BOUNDARY CONDITIONS

被引：4
|
作者：
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷
关键词：
Fractional differential equation; Fractional differential inclusion; Boundary value problem; Fixed point theorems; DIFFERENTIAL-INCLUSIONS; EXISTENCE; EQUATIONS;
D O I：
10.23952/jnfa.2019.40
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a new class of boundary value problems for Caputo-type multi-term fractional differential equations and inclusions with four-point boundary conditions. In case of the single-valued problem, we apply Sadovski fixed point theorem, Banach contraction mapping principle and Leray-Schauder nonlinear alternative to derive the existence results, while the multi-valued problem is studied with the aid of nonlinear alternative for contractive maps and Covitz-Nadler fixed point theorem. We illustrate the obtained results with examples. Boundary value problems involving Riemann-Liouville type multi-term fractional differential equations and inclusions are also described.
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页数：25
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