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Browsing by Author "Ma, Chang-You"

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    Article
    New fractional signal smoothing equations with short memory and variable order
    (Elsevier Gmbh, 2020) Ma, Chang-You; Baleanu, Dumitru; Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru; 56389
    In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.
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    Article
    Pathological study on uncertain numbers and proposed solutions for discrete fuzzy fractional order calculus
    (de Gruyter Poland Sp Z O O, 2023) Shiri, Babak; Baleanu, Dumitru; Baleanu, Dumitru; Ma, Chang-You; 56389
    A pathological study in the definition of uncertain numbers is carried out, and some solutions are proposed. Fundamental theorems for uncertain discrete fractional and integer order calculus are established. The concept of maximal solution for obtaining a unique uncertain solution is introduced. The solutions of uncertain discrete relaxation equations for the integer and the fractional order are obtained. Various numerical examples are accompanied to clarify the theoretical results and study of uncertain system behavior.