Solution to fractional-order Riccati differential equations using Euler wavelet method

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TURAN DİNCEL A.

Scientia Iranica, cilt.26, ss.1608-1616, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26
  • Basım Tarihi: 2019
  • Doi Numarası: 10.24200/sci.2018.51246.2084
  • Dergi Adı: Scientia Iranica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1608-1616
  • Anahtar Kelimeler: Euler wavelet, Fractional calculus, Operational matrix, Numerical solution, Riccati differential equations, HOMOTOPY PERTURBATION METHOD, APPROXIMATE SOLUTION, NUMERICAL-SOLUTION, MODELS, SYSTEM
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The Fractional-order Differential Equations (FDEs) have the ability to model the real-life phenomena better in a variety of applied mathematics, engineering disciplines including diffusive transport, electrical networks, electromagnetic theory, probability, and so forth. In most cases, there are no analytical solutions; therefore, a variety of numerical methods have been developed for obtaining solutions to the FDEs. In this paper, we derive numerical solutions to various fractional-order Riccati-type differential equations using the Euler Wavelet Method (EWM). The Euler wavelet operational matrix method converts the fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate validity and efficiency of the technique. (C) 2019 Sharif University of Technology. All rights reserved.