Existence results for fractional differential inclusions arising from real estate asset securitization and HIV models

Abstract

This paper studies a new class of boundary value problems of nonlinear differential inclusions with Riemann-Liouville integral boundary conditions arising from real estate asset securitization and HIV models. Some new existence results are obtained by using standard fixed point theorems when the right-hand side of the inclusion has convex as well as non-convex values. Some illustrative examples are also discussed. © 2013 Ahmad and Ntouyas; licensee Springer.