2020/02/19 by Sunil Kumar, Ranbir Kumar, Ravi P. Agarwal +1 · 312 citations
Engineering · Mathematics · Medicine · #Advanced Control Systems Design #Algebraic number #Applied mathematics #Artificial intelligence #Computer science #Discrete wavelet transform #Fractional Differential Equations Solutions #Haar #Haar wavelet #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical optimization #Mathematics #Wavelet #Wavelet transform
paper · doi:10.1002/mma.6297
published in Mathematical Methods in the Applied Sciences 43(8), 5564-5578 (Wiley)
crossref issued 2020/02/19 · crossref published 2020/02/19 · crossref published-online 2020/02/19 · openalex publication_date 2020/02/19 · crossref created 2020/02/20 · crossref published-print 2020/05/30 · crossref deposited 2024/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/03 · crossref indexed 2026/08/05
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.