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

被引：0
作者：
Suphawat Asawasamrit
Sotiris K Ntouyas
Phollakrit Thiramanus
Jessada Tariboon
机构：
[1] King Mongkut’s University of Technology North Bangkok,Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science
[2] University of Ioannina,Department of Mathematics
[3] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
来源：
Boundary Value Problems | / 2016卷
关键词：
periodic boundary value problem; conformable fractional derivative; impulsive differential equation; monotone iterative technique; lower and upper solutions; 26A33; 34A08; 34A37;
D O I：
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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.
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