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Optical and Quantum Electronics

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01-01-2024

investigating nonlinear fractional systems: reproducing kernel Hilbert space method

Authors: Nourhane Attia, Ali Akgül, Rubayyi T. Alqahtani

Published in: Optical and Quantum Electronics | Issue 1/2024

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Abstract

The reproducing kernel Hilbert space method (RK-HS method) is used in this research for solving some important nonlinear systems of fractional ordinary differential equations, such as the fractional Susceptible-Infected-Recovered (SIR) model. Nonlinear systems are widely used across various disciplines, including medicine, biology, technology, and numerous other fields. To evaluate the RK-HS method’s accuracy and applicability, we compare its numerical solutions with those obtained via Hermite interpolation, the Adomian decomposition method, and the residual power series method. To further support the reliability of the RK-HS method, the convergence analysis is discussed.

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Title: investigating nonlinear fractional systems: reproducing kernel Hilbert space method
Authors: Nourhane Attia
Ali Akgül
Rubayyi T. Alqahtani
Publication date: 01-01-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05591-1

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