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2011 Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order
Bashir Ahmad, Juan J. Nieto
Taiwanese J. Math. 15(3): 981-993 (2011). DOI: 10.11650/twjm/1500406279

Abstract

In this paper, we prove the existence of solutions for impulsive differential equations of fractional order $q \in (1,2]$ with anti-periodic boundary conditions in a Banach space. Our study is based on the contraction mapping principle and Krasnoselskii's fixed point theorem.

Citation

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Bashir Ahmad. Juan J. Nieto. "Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order." Taiwanese J. Math. 15 (3) 981 - 993, 2011. https://doi.org/10.11650/twjm/1500406279

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1270.34034
MathSciNet: MR2829892
Digital Object Identifier: 10.11650/twjm/1500406279

Subjects:
Primary: 34A34 , 34B15

Keywords: anti-periodic boundary conditions , existence , fixed point Theorem , Fractional differential equations , impulse

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 3 • 2011
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