Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 37, Issue 11, Pages 1668-1686Publisher
WILEY-BLACKWELL
DOI: 10.1002/mma.2928
Keywords
fractional derivatives and integrals; fractional differential equations; fractional ordinary Cauchy problem; maximum principle
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In the paper, fractional systems with Riemann-Liouville derivatives are studied. A theorem on the existence and uniqueness of a solution of a fractional ordinary Cauchy problem is given. Next, the Pontryagin maximum principle for nonlinear fractional control systems with a nonlinear integral performance index is proved. Copyright (c) 2013 John Wiley & Sons, Ltd.
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