## Numerical Simulations for Fitting Parameters of Linear and Logistic-Type Fractional-, Variable-Order Equations - Comparision of Methods

### Piotr Oziabło

#### Abstract

In the work variable-, fractional-order backward difference of the Grünwald-Letnikov type is presented. The backward difference is used to generate simulated experimental data to which additional noise signal is added. Using prepared data four different algorithms of finding the parameter of the order function (assuming that the general family of the function is known) and constant $\lambda$ coefficient are compared. The algorithms are: trust region algorithm, particle swarm algorithm, simulated annealing algorithm and genetic algorithm.
 Author Piotr Oziabło (FCS) Piotr Oziabło,, - Faculty of Computer Science Pages 72-85 Publication size in sheets 0.65 Book Malinowska Agnieszka, Mozyrska Dorota, Sajewski Łukasz (eds.): Advances in Non-Integer Order Calculus and Its Applications, Lecture Notes in Electrical Engineering, vol. 559, 2020, Springer, ISBN 978-3-030-17344-9, 307 p., DOI:10.1007/978-3-030-17344-9 ASJC Classification Industrial and Manufacturing Engineering2209 DOI DOI:10.1007/978-3-030-17344-9_6 Internal identifier ROC 19-20 Language en angielski Score (nominal) 20 Score source publisherList Score Ministerial score = 20.0, 26-03-2020, MonographChapterAuthor Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.216 Citation count*
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