THE GENERALIZED GEGENBAUER-HUMBERTS WAVELET FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS


Alkhalissi J. H. S. , EMİROĞLU İ. , SEÇER A. , Bayram M.

THERMAL SCIENCE, cilt.24, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 24
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/tsci20s1107a
  • Dergi Adı: THERMAL SCIENCE

Özet

In this paper we present a new method of wavelets, based on generalized Gegenbauer-Humberts polynomials, named generalized Gegenbauer-Humberts wavelets. The operational matrix of integration are derived. By using the proposed method converted linear and non-linear fractional differential equation a system of algebraic equations. In addition, discussed some examples to explain the efficiency and accuracy of the presented method.