UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

Authors : Jun WU, Yicheng LİU

Pages : 149-158

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Publication Date : 2013-02-01

Article Type : Research Paper

Abstract :In this paper, we establish some existence and uniqueness results foran initial value problem with a Caputo fractional derivative. Also, theconvergence of successive approximations is exhibited. Our methodsare based on the equivalent norm techniques and fixed point theorem.
Keywords : Fractional differential equations, Krasnoselskii Krein type condition, Equivalent norm