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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS |
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| Authors: | Bashir Ahmad Juan J Nieto Ahmed Alsaedi |
| Institution: | aDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;bDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain |
| Abstract: | 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. |
| Keywords: | ractional differential equations non-separated integral boundary conditions contraction principle Krasnoselskii's fixed point theorem Leray Schauder degree |
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