Browsing by Author "Chen, Wen"

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A new collection of real world applications of fractional calculus in science and engineering
(Elsevier, 2018) Baleanu, Dumitru; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan; 56389
Fractional calculus is at this stage an arena where many models are still to be introduced, discussed and applied to real world applications in many branches of science and engineering where nonlocality plays a crucial role. Although researchers have already reported many excellent results in several seminal monographs and review articles, there are still a large number of non-local phenomena unexplored and waiting to be discovered. Therefore, year by year, we can discover new aspects of the fractional modeling and applications. This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus. We believe this incomplete, but important, information will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool. We expect this collection will also benefit our community. (C) 2018 Elsevier B.V. All rights reserved.
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator
(Springer, 2017) Baleanu, Dumitru; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz; 56389
In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo's sense with nonlinear p-Laplacian operator. For this purpose, the suggested coupled system is transferred to an integral system with the help of four Green functions G(alpha 1) (t, s), G(beta 1) (t, s), G(alpha 2) (t, s), G(beta 2) (t, s). Then using topological degree theory and Leray-Schauder's-type fixed point theorem, existence and uniqueness results are proved. An illustrative and expressive example is given as an application of the results.
Fractional Differentiation and Its Applications I
(Pergamon-Elsevier Science LTD, 2013) Baleanu, Dumitru; Tenreiro Machado, J. A.; Chen, Wen; 56389
New trends in fractional dynamics
(Sage Publications LTD, 2014) Baleanu, Dumitru; Baleanu, Dumitru; Chen, Wen; Sabatier, Jocelyn; 56389
Special Issue of Computers and Mathematics With Applications On Fractional Differentiation and Its Applications Preface
(Pergamon-Elsevier Science LTD, 2010) Baleanu, Dumitru; Baleanu, Dumitru; Machado, J. A. Tenreiro; 56389