Existence of positive solutions for semipositone system of fractional differential equations with p-Laplacian operator
The existence of positive solutions for a semipositone system of Riemann-Liouville fractional differential equations with p-Laplacian operator and singular nonlinearities including fractional integral,subject to boundary conditions which contain fractional derivatives of differential order, Riemann-Stieltjes integrals and infinite point boundary condition is analyzed.Based on the properties of the related Green function and the fixed point index theorem,a sufficient condition for the existence of at least one positive solution of the system is obtained when the parameters belong to a suitable interval.The practicability of the results was verified by a substantial example.
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