Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann-Stieltjes Fractional Integral Boundary Conditions

被引：13

作者：

Asawasamrit, Suphawat ^{[1
]}

Thadang, Yasintorn ^{[1
]}

Ntouyas, Sotiris K. ^{[2
,3
]}

Tariboon, Jessada ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AXIOMS | 2021年 / 10卷 / 03期

关键词：

impulsive differential equations; fractional impulsive differential equations; instantaneous impulses; non-instantaneous impulses; DIFFERENTIAL-EQUATIONS; STABILITY;

D O I：

10.3390/axioms10030130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with Riemann-Stieltjes fractional integral boundary conditions. The existence of a unique solution is obtained via Banach's contraction mapping principle, while an existence result is established by using Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed.

引用

页数：15

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