Studies On The Existence Of Solutions Of Boundary Value Problems For Fractional Differential Equations

This paper is concerned with the existence of solutions for fractional differential equations at resonance, including four chapters. The main results are in chapter3and chapter4.In chapter3, a m-point boundary value problem of fractional differential equations at resonance is studied. A sufficient condition for the existence of solutions of the above problem is established by using the coincidence degree theory. Furthermore, the proof method is extended to more general fractional order differential equation with multipoint boundary value conditions at resonance.In chapter4, some new Banach spaces are introduced. Based on those new Banach spaces and by employing the coincidence degree theory, we obtain the existence results for a coupled system of nonlinear fractional differential equations with multipoint boundary value conditions at resonance.