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Original Articles

On a Second-Order Differential Problem with Fractional Derivatives of Order Greater than One

Pages 53-65 | Received 14 Dec 2011, Accepted 04 Dec 2012, Published online: 29 Jan 2013
 

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.

AMS Subject Classification:

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