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- Xinan Hao, Lishan Liu, Yonghong Wu
- 2016

In this paper, we study the existence of positive solutions to the nonlinear fractional order singular and semipositone nonlocal boundary value problem D α 0 + u(t) + f (t, u(t)) = 0, 0 < t < 1, u(0) = u (0) = · · · = u (n−2) (0) = 0, u(1) = µ 1 0 u(s)ds by using the Leray-Schauder nonlinear alternative and a fixed-point theorem on cones, where 0… (More)

- Xinan Hao, Lishan Liu, Yonghong Wu, Y Yao
- 2016

Through solving equations step by step and by using the generalized Banach fixed point theorem, under simple conditions, the authors present the existence and uniqueness theorem of the iterative solution for nonlinear advection-reaction-diffusion equations with impulsive effects. An explicit iterative scheme for the solution is also derived. The results… (More)

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