Positive solution of singular fractional differential system with nonlocal boundary conditions

Abstract

In this paper, we consider the existence of positive solutions for a singular fractional differential system involving a nonlocal boundary condition which is given by a linear functional on [InlineEquation not available: see fulltext.] with a signed measure. By looking for the upper and lower solutions of the system, the sufficient condition of the existence of positive solutions is established; some further cases are discussed. This is proved in the case of strong singularity and with a signed measure. MSC:34B15, 34B25.