On the fractional order m-point boundary value problem in reflexive Banach spaces and weak topologies

Authors:
Hussein A. H. Salem
Affiliations:
Department of Mathematics, Faculty of Sciences, Alexandria University, Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

This paper is devoted to investigate the existence of Pseudo solutions for the nonlinear m-point boundary value problem of fractional type D^@ax(t)+q(t)f(t,x(t))=0,a.e. on [0,1],@a@?(n-1,n],n=2,x(0)=x^'(0)=x^''(0)=...=x^(^n^-^2^)(0)=0,x(1)=@?i=1m-2@z"ix(@h"i), where 00 with @?"i"="1^m^-^2@z"i@h"i^@a^-^1