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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS
Journal article   Peer reviewed

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS

Bashir Ahmad, Juan J. Nieto and Ahmed Alsaedi
Acta mathematica scientia, Vol.31(6), pp.2122-2130
01/11/2011

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we study a boundary value problem of nonlinear fractional differential equations of order q (1 < q <= 2) with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.

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