On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative

Abstract

In this paper, we study some new nonlinear boundary value problems of LiouvilleCaputo type fractional differential equations supplemented with nonlocal multi-point conditions involving lower order fractional derivative. We make use of some well known tools of the fixed point theory to establish the existence of solutions for problems at hand. For illustration of the obtained results, several examples are discussed. Mathematics subject classification (2010): 34A08, 34B15.