Acta mathematica scientia,Series B

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EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER

Zhang Shuqin   

  1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
  • Received:2003-05-26 Revised:2003-11-07 Online:2006-04-20 Published:2006-04-20
  • Contact: Zhang Shuqin

Abstract:

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

Key words: Boundary value, Laplace transform, Mittage-Leffler function, fractional derivative, Caputo's derivative, fixed point, cone

CLC Number: 

  • 34B15
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