Fractional boundary value problems with integral boundary conditions

Abstract

In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.

Keywords:

• fractional calculus
• Green's function
• positive solutions

AMS Subject Classifications::

• Primary: 34B15
• Secondary: 34B18