Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 8, Pages 5564-5578Publisher
WILEY
DOI: 10.1002/mma.6297
Keywords
Adams-Bashforth-Moulton method; fractional LV model; Haar wavelet method; operational matrix
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Funding
- National Board for Higher Mathematics, Department of Atomic Energy, Government of India [2/48(20)/2016/NBHM(R.P.)/R, D II/1014]
- King Saud University Riyadh, Saudi Arabia [RSP-2019/4]
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The Lotka-Volterra (LV) system is an interesting mathematical model because of its significant and wide applications in biological sciences and ecology. A fractional LV model in the Caputo sense is investigated in this paper. Namely, we provide a comparative study of the considered model using Haar wavelet and Adams-Bashforth-Moulton methods. For the first method, the Haar wavelet operational matrix of the fractional order integration is derived and used to solve the fractional LV model. The main characteristic of the operational method is to convert the considered model into an algebraic equation which is easy to solve. To demonstrate the efficiency and accuracy of the proposed methods, some numerical tests are provided.
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