On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition

被引：28

作者：

Talaee, Mandana ^{[1
]}

Shabibi, Mehdi ^{[2
]}

Gilani, Alireza ^{[1
]}

Rezapour, Shahram ^{[3
,4
]}

机构：

[1] Islamic Azad Univ, South Tehran Branch, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Mehran Branch, Dept Math, Mehran, Iran

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

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Multi-singularity; Pointwise defined fractional equation; The Caputo derivation; 34A08; 34A60; FRACTIONAL DIFFERENTIAL-EQUATIONS; INCLUSIONS; WAVES;

D O I：

10.1186/s13662-020-2517-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singular fractional differential equation under some integral boundary conditions. We provide an example to illustrate our main result.

引用

页数：16

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