Work

An Effective Numerical Scheme for Fractional Integro-Differential Equation Systems Using Hermite Wavelets

Year: 2026

Type: article

Abstract: Numerous mathematical models, such as elasticity, nuclear reactor dynamics, and heat conduction in memory materials, use systems of fractional integro-differential equations, or FIDEs. In this research, the numerical solution of linear and nonlinear systems of FIDEs is obtained by means of an operational matrix approach based on Hermite wavelets. Using the operational matrix of the Hermite wavelets, the FIDE is transformed into an algebraic equation, and the solution of that algebraic equation is obtained. Three numerical examples are provided to show the accuracy and consistency of the suggested technique.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10070431

Authors: Arzu Turan Dincel, Sadiye Nergis Tural Polat

Institution: Yıldız Technical University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Yildiz Teknik Üniversitesi