Geodesic
New Results for a System of Two Fractional Differential Equations Involving $n$ Caputo Derivatives
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 283

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This paper studies a coupled system of two differential equations of arbitrary orders using Caputo approach with $n$ derivatives, $n\in N*,n\neq 1$. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. Some illustrative examples are also presented.
Classification : 34A08
Keywords: Caputo derivative, fixed point, coupled system, existence, uniqueness 
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     author = {Mohamed Houas and Zoubir Dahmani},
     title = {New {Results} for a {System} of {Two} {Fractional} {Differential} {Equations} {Involving} $n$ {Caputo} {Derivatives}},
     journal = {Kragujevac Journal of Mathematics},
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Mohamed Houas; Zoubir Dahmani. New Results for a System of Two Fractional Differential Equations Involving $n$ Caputo Derivatives. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 2, p. 283 . http://geodesic.mathdoc.fr/item/KJM_2014_38_2_a6/