NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
In this paper, we consider the existence of nontrivial solutions for the nonlinear fractional differential equation boundary-value problem(BVP) <TEX>$-D_0^{\alpha}+u(t)=\lambda[f(t, u(t))+q(t)]$</TEX>, 0 < t < 1 u(0) = u(1) = 0, where <TEX>$\lambda$</TEX> > 0 is a parameter, 1 < <TEX>$\alpha$</TEX> <TEX>$\leq$</TEX> 2, <TEX>$D_{0+}^{\alpha}$</TEX> is the standard Riemann-Liouville differentiation, f : …