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

doi:10.1016/S0252-9602(11)60388-3

Abstract

Abstract:

In this paper, we study a boundary value problem of nonlinear fractional dif-ferential 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.

Key words: fractional differential equations, non-separated integral boundary condi-tions, contraction principle, Krasnoselskii´s fixed point theorem, Leray-Schauder degree

CLC Number:

26A33

Bashir Ahmad, Juan J.Nieto, Ahmed Alsaedi. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS[J].Acta mathematica scientia,Series B, 2011, 31(6): 2122-2130.

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