The Existence and Uniqueness of a Class of Fractional Differential Equations

Zhanbing Bai, Sujing Sun and YangQuan Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t), D0+q-1x(t)), t∈(0,T), x(000)=, D0+q-1x()=x0, are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann‐Liouville fractional derivative, 1

Date: 2014
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https://doi.org/10.1155/2014/486040

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:486040

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