Affiliation:
1. King Fahd University of Petroleum and Minerals Dhahran, Saudi Arabia
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.
Publisher
Vilnius Gediminas Technical University
Subject
Modeling and Simulation,Analysis