Positive solutions of singular Caputo fractional differential equations with integral boundary conditions |
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| Authors: | Zhongli Wei Changci PangYouzheng Ding |
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| Institution: | a Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong 250101, People’s Republic of China
b School of Mathematics, Shandong University, Jinan, Shandong 250100, People’s Republic of China |
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| Abstract: | In this paper, we investigate the existence of positive solutions of singular super-linear (or sub-linear) integral boundary value problems for fractional differential equation involving Caputo fractional derivative. Necessary and sufficient conditions for the existence of C30, 1] positive solutions are given by means of the fixed point theorems on cones. Our nonlinearity f(t, x) may be singular at t = 0 and/or t = 1. |
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| Keywords: | Singular integral boundary value problem Positive solution Fractional differential equation Caputo fractional derivatives Fixed point theorem |
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