Solutions to Boundary Value Problem of Nonlinear Impulsive Differential Equation of Fractional Order
Year: 2011
Author: Xinwei Su
Communications in Mathematical Research, Vol. 27 (2011), Iss. 2 : pp. 114–126
Abstract
This paper is devoted to studying the existence and uniqueness of solutions to a boundary value problem of nonlinear fractional differential equation with impulsive effects. The arguments are based upon Schauder and Banach fixed-point theorems. We improve and generalize the results presented in [B. Ahmad, S. Sivasundaram, Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations, Nonlinear Analysis: Hybrid Systems, 3(2009), 251–258].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19094
Communications in Mathematical Research, Vol. 27 (2011), Iss. 2 : pp. 114–126
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: impulsive differential equation boundary value problem fractional derivative fixed-point theorem.