An Effective Numerical Scheme for Fractional Integro-Differential Equation Systems Using Hermite Wavelets
Fractal and Fractional, vol.10, no.7, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 7
- Publication Date: 2026
- Doi Number: 10.3390/fractalfract10070431
- Journal Name: Fractal and Fractional
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Keywords: fractional integro-differential equations, Hermite wavelet method, operational matrix method
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
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.