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Positive Solutions for Coupled System of Nonlinear Fractional Differential Equations with Caputo Derivative

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In this paper, we study the existence of positive solutions for a class of nonlinear coupled system of fractional-order differential equations with Caputo derivatives and boundary conditions. By using a new method to study the fixed points of operators with vectors, Krasnoselskii fixed point theorem of cone, the existence of positive solutions of the system is obtained. We also investigate the localization and multiplicity of the positive solutions by further extending the theorem.

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