论文信息 - Positive solutions for mixed problems of singular fractional differential equations

Positive solutions for mixed problems of singular fractional differential equations

We investigate the existence of positive solutions to the singular fractional boundary value problem: , u′(0) = 0, u(1) = 0, where 1 < α < 2, 0 < μ < 1, f is a Lq-Caratheodory function, , and f(t, x, y, z) may be singular at the value 0 of its space variables x, y, z. Here stands for the Caputo fractional derivative. The results are based on combining regularization and sequential techniques with a fixed point theorem on cones.

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