Existence results for the distributed order fractional hybrid differential equations (Q1938127)

Summary: We introduce the distributed-order fractional hybrid differential equations involving the Riemann-Liouville differential operator of order \(0 < q < 1\) 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 mixed Lipschitz and Carathéodory conditions.