Existence Results for the Distributed Order Fractional Hybrid Differential Equations
- Hossein Noroozi
- Alireza Ansari
- Mohammad Shafi Dahaghin
Publication date
January 2012
DOI Publisher
Hindawi Limited Journal
Abstract and Applied AnalysisAbstract
We introduce the distributed order fractional hybrid differential equations (DOFHDEs) 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 the mixed Lipschitz and Caratheodory conditions
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