A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems |
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| Authors: | H.G. Sun W. Chen H. Wei Y.Q. Chen |
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| Affiliation: | (1) Department of Pharmacology, Toxicology and Clinical Pharmacology, Faculty of Medicine, University of Novi Sad, Hajduk Veljkova 3, 21000 Novi Sad, Republic of Serbia;(2) Department of Pharmacy, Faculty of Medicine, University of Novi Sad, 21000 Novi Sad, Republic of Serbia;(3) Computing and Control Department, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Republic of Serbia;(4) Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of Novi Sad, 21000 Novi Sad, Republic of Serbia;(5) Institute of Mechanics, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, Republic of Serbia |
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| Abstract: | How to characterize the memory property of systems is a challenging issue in the modeling and analysis of complex systems. This study makes a comparative investigation of integer-order derivative, constant-order fractional derivative and two types of variable-order fractional derivatives in characterizing the memory property of systems. The advantages and potential applications of two variable-order derivative definitions are highlighted through a comparative analysis of anomalous relaxation process. |
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