Lagrange optimal controls and time optimal controls for composite fractional relaxation systems

Lagrange optimal controls and time optimal controls for composite fractional relaxation systems By means of the theory of resolvent and Schauder’s fixed point, the existence results of semilinear composite fractional relaxation systems are acquired. Then the new approach of setting up minimizing sequences twice is used to derive the optimal pairs without Lipschitz assumptions on nonlinear functions and nonlocal items. Moreover, the reflexivity of a state space X is not required by making full use of the compact method. Our results essentially improve and generalize those on optimal controls in recent literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

Lagrange optimal controls and time optimal controls for composite fractional relaxation systems

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-017-1299-7
Publisher site
See Article on Publisher Site

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