Existence of positive solutions for the singular fractional differential equations |
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Authors: | Limin Guo Xingqiu Zhang |
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Institution: | 1. School of Mathematics, Liaocheng University, Liaocheng, Shandong, 252059, P.R. China
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Abstract: | In this paper, we consider the following two-point fractional boundary value problem. We provide sufficient conditions for the existence of multiple positive solutions for the following boundary value problems that the nonlinear terms contain i-order derivative where n?1<α≤n is a real number, n is natural number and n≥2, α?i>1, i∈N and 0≤i≤n?1. ${}^{c}D_{0^{+}}^{\alpha}$ is the standard Caputo derivative. f(t,x 0,x 1,…,x i ) may be singular at t=0. |
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