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Browsing by Author "Bai, Yunru"

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    Article
    Existence and Discrete Approximation for Optimization Problems Governed By Fractional Differential Equations
    (Elsevier Science Bv, 2018) Bai, Yunru; Baleanu, Dumitru; Baleanu, Dumitru; Wu, Guo-Cheng; 56389
    We investigate a class of generalized differential optimization problems driven by the Caputo derivative. Existence of weak Caratheodory solution is proved by using Weierstrass existence theorem, fixed point theorem and Filippov implicit function lemma etc. Then a numerical approximation algorithm is introduced, and a convergence theorem is established. Finally, a nonlinear programming problem constrained by the fractional differential equation is illustrated and the results verify the validity of the algorithm. (C) 2017 Elsevier B.V. All rights reserved.
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    Article
    Fractional differential equations of Caputo-Katugampola type and numerical solutions
    (Elsevier Science inc, 2017) Zeng, Shengda; Baleanu, Dumitru; Baleanu, Dumitru; Bai, Yunru; Wu, Guocheng; 56389
    This paper is concerned with a numerical method for solving generalized fractional differential equation of Caputo-Katugampola derivative. A corresponding discretization technique is proposed. Numerical solutions are obtained and convergence of numerical formulae is discussed. The convergence speed arrives at O(Delta T1-alpha). Numerical examples are given to test the accuracy. (C) 2017 Elsevier Inc. All rights reserved.