On a second-order differential problem with fractional derivatives of order greater than one

On a second-order differential problem with fractional derivatives of order greater than one

A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces. This work extends similar works with or without a...

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Bibliographic Details
Main Author: Nasser-eddine Tatar
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2013-02-01
Series:Mathematical Modelling and Analysis
Subjects:
Cauchy problem
cosine family
fractional derivative
mild solutions
second-order abstract problem
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4097

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/4097

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