On a fully coupled nonlocal multipoint boundary value problem for a dual hybrid system of nonlinear q-fractional differential equations

被引：1
|
作者：
Alsaedi, Ahmed [1 ]
Bohner, Martin [2 ]
Ahmad, Bashir [1 ]
Alharbi, Boshra [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Missouri S&T, Dept Math & Stat, Rolla, MO 65409 USA
来源：
BULLETIN OF MATHEMATICAL SCIENCES | 2024年
关键词：
Riemann-Liouville q-fractional derivative; hybrid; coupled system; nonlocal boundary conditions; existence;
D O I：
10.1142/S1664360724500061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new class of nonlocal multipoint boundary value problems involving a dual hybrid system of nonlinear Riemann-Liouville-type q-fractional differential equations is studied in this paper. Existence and uniqueness results for the given problem are derived by applying the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle. Examples are presented for illustrating the obtained results. The work established in this paper is a useful contribution to the existing literature on q-fractional differential equations. Some interesting special cases are also discussed.
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页数：29
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