On the Approximate Solution of Fractional Logistic Equation by Shannon Wavelets
International Journal of Engineering and Applied Sciences, cilt.4, sa.12, ss.65-68, 2017 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 12
- Basım Tarihi: 2017
- Dergi Adı: International Journal of Engineering and Applied Sciences
- Derginin Tarandığı İndeksler: Other Indexes
- Sayfa Sayıları: ss.65-68
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, the numerical solution of fractional order logistic equation (FOLE) is considered by Shannon wavelet functions. We derive the wavelet operational matrix of the fractional order integration and by using it to solve the fractional order logistic equation. An illustrative example is presented to demonstrate the applicability and validity of this wavelet base technique. The results obtained are in good-agreement with the exact solutions. It is shown that the technique used here is effective and easy to apply.