The Existence of Solutions for a Fractional 2m-Point Boundary Value Problems

By using the coincidence degree theory, we consider the following 2m-point boundary value problem for fractional differential equation D-0+(alpha) u(t) = f(t, u(t), D-0+(alpha-1) u(t), D-0+(alpha-2) u(t) + e(t), 0 < t < 1, I-0+(3-alpha) u(t)vertical bar(t=0) = 0, D-0+(alpha-2) u(1) 0 Sigma(m-2)(i=1) ai D-0+(alpha-2) u(xi(i)), u(1) = Sigma(m-2)(i=1) b(i)u(eta(i)), where 2 < alpha <= 3, D-0+(alpha) and I-0+(alpha) are the the standard Riemann-Liouville fractional derivative and fractional integral, respectively. A new result on the existence of solutions for above fractional boundary value problem is obtained.