Periodic boundary value problems for impulsive conformable fractional integro-differential equations

被引：20

作者：

Asawasamrit, Suphawat ^{[1
]}

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

Thiramanus, Phollakrit ^{[1
]}

Tariboon, Jessada ^{[1
]}

机构：

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

[2] Univ Ioannina, Dept Math, POB 1186, GR-45110 Ioannina, Greece

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

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

periodic boundary value problem; conformable fractional derivative; impulsive differential equation; monotone iterative technique; lower and upper solutions; MONOTONE ITERATIVE TECHNIQUE; DIFFERENTIAL-EQUATIONS; EXISTENCE; INCLUSIONS; UNIQUENESS;

D O I：

10.1186/s13661-016-0629-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of solutions for periodic boundary value problems for impulsive fractional integro-differential equations using a recent novel concept of conformable fractional derivative. We give a new definition of exponential notations and impulsive integrals for constructing the Green function and a comparison result of the linear problems with impulses. By applying the method of lower and upper solutions in reversed order coupled with the monotone iterative technique, some new sufficient conditions for the existence of solutions are established. The obtained results are well illustrated by an example.

引用

页数：18

共 35 条

[1]

Abdeljawad T., 2015, J SEMIGROUP THEORY A, V2015, P7

[2] On conformable fractional calculus [J].