EXISTENCE OF SOLUTIONS FOR IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER

In this paper, we prove the existence of solutions for impulsive differential equations of fractional orderq∈ (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. 2000Mathematics Subject...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 15; no. 3; pp. 981 - 993
Main Authors Ahmad, Bashir, Nieto, Juan J.
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.06.2011
Subjects
Banach space
Boundary conditions
Boundary value problems
Differential equations
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Summary:In this paper, we prove the existence of solutions for impulsive differential equations of fractional orderq∈ (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. 2000Mathematics Subject Classification: 34A34, 34B15. Key words and phrases: Fractional differential equations, Impulse, Anti-periodic boundary conditions, Existence, Fixed point theorem.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500406279