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Issue title: Theory and Applications of Fractional Fourier Transform and its Variants
Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han
Article type: Research Article
Authors: Atıcı, Ferhan M.a; * | Atıcı, Mustafab | Belcher, Michaelc | Marshall, Danad
Affiliations: [a] Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101-3576 USA. [email protected] | [b] Department of Computer Science, Western Kentucky University, Bowling Green, Kentucky 42101-3576 USA. [email protected] | [c] Gatton Academy of Science and Mathematics, Bowling Green, Kentucky 42101 USA. [email protected] | [d] Department of Pathology, Anatomy and Cell Biology, Meharry Medical College, Nashville, Tennessee 37208 USA. [email protected]
Correspondence: [*] Address for correspondence: Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101-3576 USA
Abstract: In this paper, we introduce a new class of nonlinear discrete fractional equations to model tumor growth rates in mice. For the data fitting purpose, we develop a new method which can be considered as an improved version of the partial sum method for parameter estimations. We demonstrate the goodness of fit by comparing the models with three statistical measures.
Keywords: Discrete Fractional Calculus, Parameter Estimations, Data Fitting, Method of Partial Sums
DOI: 10.3233/FI-2017-1494
Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 313-324, 2017
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