The Existence Of Solutions For The Boundary Value Problem Of Fractional Differential Equation

This paper establishes the Green’s function and equivalent integral equation of fractional differential equations, Krasnoselskii’s Fixed point theorem in cone and selec-tion theorem were applied.In several different sets of sufficient conditions,studies the existence of positive solutions and their relationship of Riemann-Liouville fractional derivative singular differential equations, On the basis, further discusses the existence of positive solutions of multiple-coupled system of Riemann-Liouville fractional derivative differential equations. The positive solutions’ proof of the coupled system of fractional derivative differential equations is spread, the theories of the existence of solutions of fractional differential equations enriched and improved,with certain guiding significance for solving such fractional differential equations.First study the boundary value problem for a class of Riemann-Liouville fractional derivative differential equations. In several different sets of sufficient conditions,the existence of positive solutions of more of these equation boundary value problem were proved.Furthermore,we spread the boundary value problem of multi-coupled system Rieman Liouville fractional derivative differential equations and discussed the following bound- ary value problem of multiple coupling system.Where,1<α<2,i=1,2,…,n-1.