Existence and discrete approximation for optimization problems governed by fractional differential equations

•A class of generalized differential optimization problems driven by the Caputo derivative is studied.•The existence of weak Caratheodory solution for DOP is obtained.•A numerical approximation algorithm is introduced and a convergence theorem is established. We investigate a class of generalized di...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 59; pp. 338 - 348
Main Authors:	Bai, Yunru, Baleanu, Dumitru, Wu, Guo–Cheng
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.06.2018 Elsevier Science Ltd
Subjects:	Algorithms Approximation Convergence Differential equations Existence theorems Fixed points (mathematics) Fractional differential optimization problem Mathematical analysis Nonlinear programming Numerical approximation algorithm Optimization Studies Weak Carathéodory solution Weierstrass existence theorem Numerical approximation algorithm Weierstrass existence theorem Weak Carathéodory solution Fractional differential optimization problem
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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