TY - JOUR
TI - The generalized Gegenbauer-Humberts wavelet for solving fractional differential equations
AU - Alkhalissi Jumana H. S.
AU - Emiroglu Ibrahim
AU - Secer Aydin
AU - Bayram Mustafa
JN - Thermal Science
PY - 2020
VL - 24
IS - 11
SP - 107
EP - 118
PT - Article
AB - 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.