On Fractional Order Hybrid Differential Equations
We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0<α<1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/389386 |
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| _version_ | 1832566179898589184 |
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| author | Mohamed A. E. Herzallah Dumitru Baleanu |
| author_facet | Mohamed A. E. Herzallah Dumitru Baleanu |
| author_sort | Mohamed A. E. Herzallah |
| collection | DOAJ |
| description | We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0<α<1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results. |
| format | Article |
| id | doaj-art-0bde2f5c42a845e9906fb62c5e7b0536 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0bde2f5c42a845e9906fb62c5e7b05362025-02-03T01:04:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/389386389386On Fractional Order Hybrid Differential EquationsMohamed A. E. Herzallah0Dumitru Baleanu1Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaWe develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0<α<1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.http://dx.doi.org/10.1155/2014/389386 |
| spellingShingle | Mohamed A. E. Herzallah Dumitru Baleanu On Fractional Order Hybrid Differential Equations Abstract and Applied Analysis |
| title | On Fractional Order Hybrid Differential Equations |
| title_full | On Fractional Order Hybrid Differential Equations |
| title_fullStr | On Fractional Order Hybrid Differential Equations |
| title_full_unstemmed | On Fractional Order Hybrid Differential Equations |
| title_short | On Fractional Order Hybrid Differential Equations |
| title_sort | on fractional order hybrid differential equations |
| url | http://dx.doi.org/10.1155/2014/389386 |
| work_keys_str_mv | AT mohamedaeherzallah onfractionalorderhybriddifferentialequations AT dumitrubaleanu onfractionalorderhybriddifferentialequations |