Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

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Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders Yige Zhao1, Shurong Sun1,2*, Zhenlai Han1,3 and Wenquan Feng1 * Correspondence: sshrong@163. com 1 School of Science, University of Jinan, Jinan 250022, Shandong, PR China Full list of author information is available at the end of the article

Abstract In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders ⎧ α ⎪ 0+ u(t) = f (t, v(t)), 0 < t < 1, ⎨ −D β D0+ v(t) = g(t, u(t)), 0 < t < 1, ⎪ ⎩ u(0) = u(1) = u (0) = v(0) = v(1) = v (0) = v (1) = 0,

where 2

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