On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions

被引：6
|
作者：
Tudorache, Alexandru [1 ]
Luca, Rodica [2 ]
机构：
[1] Gh Asachi Tech Univ, Dept Comp Sci & Engn, Iasi 700050, Romania
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期
关键词：
Caputo fractional differential equations; integral boundary conditions; existence of solutions; uniqueness of solutions; COUPLED SYSTEM; EXISTENCE; INCLUSIONS;
D O I：
10.3390/fractalfract7020181
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann-Stieltjes integral boundary conditions. The proofs of our results are based on the Banach fixed point theorem and the Leray-Schauder alternative.
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页数：23
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