Abstract
In this paper, we investigate the existence of multiple positive solutions for a coupled system of p-Laplacian fractional order two point boundary value problems,
{D-a+(beta 1)(phi(p)(D(alpha+)(alpha 1)u(t))) + f(1)(t, u(t), v(t)) = 0, a < t < b,
D-a+(beta 2)(phi(p)(D(a+)(alpha 2)v(t))) + f(2)(t, u(t), v(t)) = 0, a < t < b,
xi u(a) - eta u'(a) = 0, gamma u(b) + delta u'(b) = 0, D(a+)(alpha 1)u(a) = 0
xi v(a) - eta v'(a) = 0, gamma v(b) = delta v'(b) = 0, D(a+)(alpha 2)v(a) = 0
The approach are based on Avery-Henderson fixed point theorem and six functionals fixed point theorem.