Existence Results for the Distributed Order Fractional Hybrid Differential Equations
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 dist...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/163648 |
| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |