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

    Nasser-eddine Tatar Info

Abstract

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 derivative of first order and also a work of the present author, where the order of the derivatives were between 0 and 1.

Keywords:

Cauchy problem, cosine family, fractional derivative, mild solutions, second-order abstract problem

How to Cite

Tatar, N.- eddine. (2013). On a second-order differential problem with fractional derivatives of order greater than one. Mathematical Modelling and Analysis, 18(1), 53-65. https://doi.org/10.3846/13926292.2013.756833

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February 1, 2013
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2013-02-01

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How to Cite

Tatar, N.- eddine. (2013). On a second-order differential problem with fractional derivatives of order greater than one. Mathematical Modelling and Analysis, 18(1), 53-65. https://doi.org/10.3846/13926292.2013.756833

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