Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order

被引：3

作者：

Afshari, Hojjat ^{[1
]}

Roomi, Vahid ^{[2
]}

Kalantari, Sabileh ^{[2
]}

机构：

[1] Univ Bonab, Dept Math, Fac Sci, Bonab, Iran

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

Atangana Baleanu Capotu derivative; Iimpulsive conditions; Fixed point; Boundary value problem; DIFFERENTIAL-EQUATIONS; CAPUTO;

D O I：

10.2298/FIL2311639A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article discusses on topics about the integral boundary value problems with impulsive conditions. Using a generalized contraction, the existence of solutions of an initial boundary value problem involving Atangana Baleanu Capotu-fractional order (in Mittag-Lefler kernel sense) will also be investigated and some important results will be presented. Two examples are provided to illustrate the results.

引用

页码：3639 / 3648

页数：10

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