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Existence results for nonlinear fractional differential equations with closed boundary conditions and impulses
Journal article   Open access  Peer reviewed

Existence results for nonlinear fractional differential equations with closed boundary conditions and impulses

Guotao Wang, Bashir Ahmad and Lihong Zhang
Advances in difference equations, Vol.2012(1), pp.1-13
25/09/2012
DOI: https://doi.org/10.1186/1687-1847-2012-169

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is concerned with the existence and uniqueness of solutions for impulsive nonlinear differential equations of fractional order alpha is an element of (1, 2] with closed boundary conditions. By applying some standard fixed point theorems, we obtain the sufficient conditions for the existence and uniqueness of solutions of the problem at hand. An illustrative example is presented.
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https://doi.org/10.1186/1687-1847-2012-169View
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