Existence Results for the Distributed Order Fractional Hybrid Differential Equations

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...

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Main Authors: Hossein Noroozi, Alireza Ansari, Mohammad Shafi Dahaghin
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/163648
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spelling doaj-3182d1f420954b39af15b90cee498c082020-11-24T22:55:27ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/163648163648Existence Results for the Distributed Order Fractional Hybrid Differential EquationsHossein Noroozi0Alireza Ansari1Mohammad Shafi Dahaghin2Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, IranFaculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, IranFaculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, IranWe 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.http://dx.doi.org/10.1155/2012/163648
collection DOAJ
language English
format Article
sources DOAJ
author Hossein Noroozi
Alireza Ansari
Mohammad Shafi Dahaghin
spellingShingle Hossein Noroozi
Alireza Ansari
Mohammad Shafi Dahaghin
Existence Results for the Distributed Order Fractional Hybrid Differential Equations
Abstract and Applied Analysis
author_facet Hossein Noroozi
Alireza Ansari
Mohammad Shafi Dahaghin
author_sort Hossein Noroozi
title Existence Results for the Distributed Order Fractional Hybrid Differential Equations
title_short Existence Results for the Distributed Order Fractional Hybrid Differential Equations
title_full Existence Results for the Distributed Order Fractional Hybrid Differential Equations
title_fullStr Existence Results for the Distributed Order Fractional Hybrid Differential Equations
title_full_unstemmed Existence Results for the Distributed Order Fractional Hybrid Differential Equations
title_sort existence results for the distributed order fractional hybrid differential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/163648
work_keys_str_mv AT hosseinnoroozi existenceresultsforthedistributedorderfractionalhybriddifferentialequations
AT alirezaansari existenceresultsforthedistributedorderfractionalhybriddifferentialequations
AT mohammadshafidahaghin existenceresultsforthedistributedorderfractionalhybriddifferentialequations
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