Document Details Document Type : Article In Journal  Document Title : On nonlocal fractional boundary value problems On nonlocal fractional boundary value problems   Subject : Mathematics  Document Language : English  Abstract : This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations of fractional order. We extend the idea of a three-point nonlocal boundary condition (x(1) = αx(η), α ε R, 0 < η < 1) to a nonlocal strip condition of the form: x(1) = η ∫vτ x(s)ds, 0 < v < τ < 1. In fact, this strip condition corresponds to a continuous distribution of the values of the unknown function on an arbitrary finite segment of the interval. In the limit v → 0, τ → 1, this strip condition takes the form of a typical integral boundary condition. Some new existence and uniqueness results are obtained for this class of nonlocal problems by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.  ISSN : 1201-3390  Journal Name : Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis  Volume : 18  Issue Number : 4  Publishing Year : 1432 AH 2011 AD  Article Type : Article  Added Date : Saturday, February 18, 2012  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email بشير أحمد Ahmad, Bashir Researcher Doctorate bashir_qau@yahoo.com Ravi P Agarwal Agarwal, Ravi P Researcher Doctorate agarwal@fit.edu Files File Name Type Description  32318.pdf pdf Abstract Back To Researches Page