Research For Several Classes Of Boundary Value Problems For Fractional Difference Equations

This paper chapter 2 studied the nonlinear fractional difference equations bound-ary value problem of the existence of positive solution:-?vy(t)=?f(t+v-1,y(t+v-1)), y(v-2)=0, ?y(u+b)=0.Where:t?N0b+1,1<v?2,f:C(Nv-1v+b-1×R+?R+).We mainly discuss the existence of positive solutions,using the cone compression-stretching cone fixed point theorem and compression mapping principle,so as to obtain a new existence theorem,and to prove that.Chapter 3 discussed the fractional hybrid difference equation boundary value problem for the existence of the solution:Where:t?N0b,1<v?2,g:C(Nv-1v+b-1×R?R),f:Nv-2v+b×R?R{0} and C([v-2,v+b),?(x):C([v-2,v+b],R)We mainly discuss the existence of solutions,using the Brouwer theorem and the upper and lower solutions method.