Articles

EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

  • Zhang Shuqin
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  • Department of Mathematics, China University of Mining and Technology, Beijing 100083, China

Received date: 2003-05-26

  Revised date: 2003-11-07

  Online published: 2006-04-20

Abstract

This article considers the existence of solution for a boundary value problem of fractional order, involving Caputo's derivative
$$
\left\{
\begin {array}{l}
_0^{C}D_t^\delta u(t) =g(t,u(t)),\quad 0u(0)=\alpha\neq 0,\quad u(1)=\beta\neq 0.
\end{array}
\right.
$$

Cite this article

Zhang Shuqin . EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER[J]. Acta mathematica scientia, Series B, 2006 , 26(2) : 220 -228 . DOI: 10.1016/S0252-9602(06)60044-1

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