Existence and Multiplicity Results for the Boundary Value Problem of Nonlinear Fractional Differential Equations
نویسندگان
چکیده
In this paper, we devote to investigation of the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations { D0+u(t)+ f (t,u(t)) = 0, 0 < t < 1, u(0) = u′(0) = · · ·u(n−2)(0) = D0+u(1), where D0+ , D β 0+ are the standard Riemann-Liouville fractional derivative, n− 1 < α n , n−2 β n−1 , n 3 . By means of constructing an exact cone of the Banach space and fixedpoint theorem, some new multiplicity results for the boundary value problem are obtained. The interest is that we establish the theorems of the existence of infinitely many positive solutions.
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