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
{C0Dδtu(t)=g(t,u(t)),0u(0)=α0,u(1)=β0.

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

CLC Number: 

  • 34B15
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