Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order

Authors:	Guotao Wang Bashir Ahmad

Affiliation:	^a School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China ^b Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract:	In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order α∈(2,3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.

Keywords:	Nonlinear fractional differential equations Impulse Anti-periodic boundary value problem Fixed point theorem
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