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 50 条

[1] Periodic boundary value problems for impulsive conformable fractional integro-differential equations
Suphawat Asawasamrit
Sotiris K Ntouyas
Phollakrit Thiramanus
Jessada Tariboon
Boundary Value Problems, 2016
[2] Periodic boundary value problems for impulsive integro-differential equations in Banach spaces
Liu, XZ
DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 81 - 93
[3] Periodic boundary value problems for impulsive integro-differential equations in Banach spaces
Liu, XZ
DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, : 129 - 142
[4] Periodic boundary value problems for impulsive integro-differential equations of mixed type
Li, Jianli
Shen, Jianhua
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) : 890 - 902
[5] Periodic boundary value problems for second-order impulsive integro-differential equations
Yang, Xuxin
Shen, Jianhua
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 209 (02) : 176 - 186
[6] Periodic boundary value problems for second-order impulsive integro-differential equations
Li, Jianli
APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (01) : 317 - 325
[7] The Iterative Solution of Periodic Boundary Value Problems for Second Order Impulsive Integro-differential Equations
Wang, Xinfeng
Wang, Di
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 726 - 731
[8] Periodic boundary value problems for second order impulsive integro-differential equations in Banach spaces
Guo, Dajun
Nonlinear Analysis, Theory, Methods and Applications, 1997, 28 (06): : 983 - 997
[9] PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES
LIU XINZHI
(Department of Applied Mathematics
(Department of Mathematics
Chinese Annals of Mathematics, 1998, (04) : 517 - 528
[10] Periodic boundary value problems for impulsive integro-differential equations of mixed type in Banach spaces
Liu, XZ
Guo, DJ
CHINESE ANNALS OF MATHEMATICS SERIES B, 1998, 19 (04) : 517 - 528

← 1 2 3 4 5 →