We introduce the distributed order fractional hybrid differential equations (DOFHDEs) involving the Riemann-Liouville differential operator of order with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved via a fixed point theorem in the Banach algebras under the mixed Lipschitz and Caratheodory conditions.
"Existence Results for the Distributed Order Fractional Hybrid Differential Equations." Abstr. Appl. Anal. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/163648