UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

Yıl 2013, Cilt: 42 Sayı: 2, 149 - 158, 01.02.2013

Jun Wu Yicheng Liu

Öz

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.

Anahtar Kelimeler

Fractional differential equations, Krasnoselskii-Krein type condition, Equivalent norm.

UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

Öz

Kaynakça

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