Journal Article

·2020 OPEN ACCESS

The generalized Gegenbauer-Humberts wavelet for solving fractional differential equations

Jumana H. S. Alkhalissi YTU , İbrahim Emiroğlu YTU , Aydın Seçer YTU , Mustafa Bayram YTU

Thermal Science

Abstract

In this paper we present a new method of wavelets, based on generalized Gegen?bauer-Humberts polynomials, named generalized Gegenbauer-Humberts wave?lets. 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.

Keywords

Wavelet Algebraic equation Applied mathematics Differential equation Mathematics Matrix (chemical analysis) Mathematical analysis Algebra over a field Computer science Physics Pure mathematics Nonlinear system Artificial intelligence

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Iterative Methods for Nonlinear Equations ·Numerical Analysis ·Physical Sciences
Mathematical functions and polynomials ·Applied Mathematics ·Physical Sciences

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