Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation

الملخص EN

In this paper, we study the existence and uniqueness of solutions for the following boundary value problem of nonlinear fractional differential equation: D0+qCut=ft,ut, t∈0,1, u0=u′′0=0, D0+σ1Cu1=λI0+σ2u1, where 20, and λ≠Γ2+σ2/Γ2-σ1.

The main tools used are nonlinear alternative of Leray-Schauder type and Banach contraction principle.