Ibrahim, Rabha Waell and Qasem, Sayyedah A. and Siri, Zailan
(2018)
*Generalized Φ-dichotomous linear part for a class of generalized differential equations.*
Annals of the University of Craiova, Mathematics and Computer Science Series, 45 (1).
pp. 1-10.
ISSN 1223-6934,

## Abstract

A dichotomy: ordinary or exponential, is a category of conditional stability. In this disquisition, we deal with nonlinear fractional differential equations (NFDE) involving generalized Φ-exponential and Φ-ordinary dichotomous (in the sense of fractional calculus) linear part in a Banach space. By employing of the Banach fixed point principle, the satisfactory conditions are located for the existence of Φ-bounded outcomes of these equations in the real case.

Item Type: | Article |
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Funders: | UNSPECIFIED |

Uncontrolled Keywords: | Fractional calculus; Fractional differential equations; Fractional operator |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |

Divisions: | Faculty of Science > Institute of Mathematical Sciences |

Depositing User: | Ms. Juhaida Abd Rahim |

Date Deposited: | 06 Aug 2019 06:53 |

Last Modified: | 06 Aug 2019 06:53 |

URI: | http://eprints.um.edu.my/id/eprint/21831 |

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