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Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
Journal article   Open access  Peer reviewed

Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

Bashir Ahmad and Juan J. Nieto
Abstract and applied analysis, Vol.2009, pp.1-9
01/01/2009
DOI: https://doi.org/10.1155/2009/494720

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order q given by (c)D(q)x(t) = f(t, x(t)), 0 < t < 1, q is an element of (m - 1, m], m is an element of N, m >= 2, x(0) = 0, x'(0) = 0, x ''(0) = 0,..., x((m-2))(0) = 0, x(1) = alpha x (eta). Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem. Copyright (C) 2009 B. Ahmad and J. J. Nieto.
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https://doi.org/10.1155/2009/494720View
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