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http://dx.doi.org/10.14317/jami.2013.877

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A SINGULAR SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS  

Wang, Lin (Department of Mathematics, Liaocheng University)
Lu, Xinyi (Department of Mathematics, Liaocheng University)
Publication Information
Journal of applied mathematics & informatics / v.31, no.5_6, 2013 , pp. 877-894 More about this Journal
Abstract
In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions. We obtain existence and uniqueness results of solutions by using the properties of the Green's function, a nonlinear alternative of Leray-Schauder type, Guo-Krasnoselskii's fixed point theorem in a cone. Some examples are included to show the applicability of our results.
Keywords
Fractional differential equation; Singular system; Fractional Green's function; Fixed point theorem;
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