A Novel Fractional-Order RothC Model

Vsevolod Bohaienko, Fasma Diele (), Carmela Marangi, Cristiano Tamborrino, Sebastian Aleksandrowicz and Edyta Woźniak
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Vsevolod Bohaienko: Istituto per Applicazioni del Calcolo ‘M.Picone’, National Research Council (CNR), Via Amendola 122/D, 70126 Bari, Italy
Fasma Diele: Istituto per Applicazioni del Calcolo ‘M.Picone’, National Research Council (CNR), Via Amendola 122/D, 70126 Bari, Italy
Carmela Marangi: Istituto per Applicazioni del Calcolo ‘M.Picone’, National Research Council (CNR), Via Amendola 122/D, 70126 Bari, Italy
Cristiano Tamborrino: Istituto di Nanotecnologie ‘NANOTEC’, National Research Council (CNR), Via Monteroni 122/D, 73100 Lecce, Italy
Sebastian Aleksandrowicz: Centrum Badan Kosmicznych PAN, Bartycka 18a, 00-716 Warszawa, Poland
Edyta Woźniak: Centrum Badan Kosmicznych PAN, Bartycka 18a, 00-716 Warszawa, Poland

Mathematics, 2023, vol. 11, issue 7, 1-16

Abstract: A new fractional q -order variation of the RothC model for the dynamics of soil organic carbon is introduced. A computational method based on the discretization of the analytic solution along with the finite-difference technique are suggested and the stability results for the latter are given. The accuracy of the scheme, in terms of the temporal step size h , is confirmed through numerical testing of a constructed analytic solution. The effectiveness of the proposed discrete method is compared with that of the classical discrete RothC model. Results from real-world experiments show that, by adjusting the fractional order q and the multiplier term ζ ( t , q ) , a better match between simulated and actual data can be achieved compared to the traditional integer-order model.

Keywords: soil carbon dynamics; RothC model; fractional-order model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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