## THERMAL SCIENCE

International Scientific Journal

### THE GENERALIZED GEGENBAUER-HUMBERTS WAVELET FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2020-04-25

PAPER REVISED: 2020-05-29

PAPER ACCEPTED: 2020-06-01

PUBLISHED ONLINE: 2020-10-25

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Supplement 1**, PAGES [S107 - S118]

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