非线性项具有积分算子的分数阶反周期边值问题解的存在性与唯一性

Journal of Jilin University Science Edition

Previous Articles Next Articles

Existence and Uniqueness of Solution for a Fractional Anti-periodic Boundary Problem with NonlinearTerm Containing Integral Operators

LIU Huaying¹, SUN Yi²

1. College of Computer and Information Technology, Northeast Petroleum University, Daqing 163318,Heilongjiang Province, China; 2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2015-04-16 Online:2015-09-26 Published:2015-09-29
Contact: LIU Huaying E-mail:dqpilhy@163.com

Abstract

Abstract:

A nonlinear fractional antiperiodic boundary problem was considered, the differential operator of which is the Caputo sense of order 2<α≤3. The feature of this problem is that nonlinear term contains integral operators about unknown function. The existence and uniqueness of solution were proved via the Schauder fixed point theorem and the contraction mapping principle.

Key words: fractional differential equation, antiperiodic boundary conditions, existence, uniqueness

CLC Number:

O175.14

LIU Huaying, SUN Yi. Existence and Uniqueness of Solution for a Fractional Anti-periodic Boundary Problem with NonlinearTerm Containing Integral Operators[J].Journal of Jilin University Science Edition, 2015, 53(05): 835-840.

[1]	ZHANG Qiaozhen. Generalized Traveling Waves for Two Species Competitive Lattice Systems in Time Inhomogeneous Media [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1031-1044.
[2]	SUN Wenchao, SU Youhui, SUN Ai. Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations [J]. Journal of Jilin University Science Edition, 2021, 59(4): 828-836.
[3]	WANG Changjia, SHI Shaoli. Existence of Weak Solutions for a Class of Anisotropic Non-Newtonian Micropolar Fluid Equations [J]. Journal of Jilin University Science Edition, 2021, 59(4): 837-845.
[4]	SHANG Shuyan, HAN Xiaoling. Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations [J]. Journal of Jilin University Science Edition, 2021, 59(3): 444-450.
[5]	LI Cuiying, WU Rui, CHENG Yi. Periodic Solutions for a Fractional Nonlinear Iterative Equations [J]. Journal of Jilin University Science Edition, 2021, 59(3): 555-558.
[6]	ZHAN Huashui, YUAN Hongjun. Uniqueness of Solutions to Degenerate Parabolic Equation with Variable Exponents [J]. Journal of Jilin University Science Edition, 2021, 59(1): 1-6.
[7]	ZHANG Kaibin, CHEN Pengyu. Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations in Banach Spaces [J]. Journal of Jilin University Science Edition, 2021, 59(1): 7-12.
[8]	SUN Xiaozhao, LI Yongxiang. Existence of Solutions for a Class of Fully Third-Order Boundary Value Problem [J]. Journal of Jilin University Science Edition, 2021, 59(1): 13-19.
[9]	ZHAO Yanxia, YANG He. Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1055-1065.
[10]	JIN Manli, GUO Li. Existence and Uniqueness of Weak Solutions fora Class of ForthOrder Low Curvature Equations [J]. Journal of Jilin University Science Edition, 2020, 58(4): 753-760.
[11]	PENG Zhongqi, LI Yuan, XUE Yimin. Two Positive Solutions of Boundary Value Problem for a Class ofCoupled System of Nonlinear Fractional Differential Equations [J]. Journal of Jilin University Science Edition, 2020, 58(4): 775-781.
[12]	SHI Weiwei, WANG Changjia, GAO Yanchao. Existence and Uniqueness of Strong Solutions for a Class ofNonNewtonian Micropolar Fluid Equations [J]. Journal of Jilin University Science Edition, 2020, 58(3): 463-469.
[13]	LI Tingle, JIA Mei, LIU Xiping, ZHENG Wenjing. Existence of Solutions for Integral Boundary Value Problemsof Fractional Impulsive Functional Differential Equations#br# [J]. Journal of Jilin University Science Edition, 2020, 58(2): 261-270.
[14]	HE Xingyue, GAO Chenghua. Existence of Positive Solutions of Fractional DifferentialEquations with Integral Boundary Conditions [J]. Journal of Jilin University Science Edition, 2020, 58(1): 9-14.
[15]	ZHANG Shengui. High Energy Solutions for a Class of Fractional KirchhoffType Equation [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1047-1052.

Existence and Uniqueness of Solution for a Fractional Anti-periodic Boundary Problem with NonlinearTerm Containing Integral Operators

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0