Numerical solution of the fractional relaxation-oscillation equation by using reproducing kernel Hilbert space method
DOI10.1007/s40819-021-01087-2zbMath1499.34253OpenAlexW3184331158MaRDI QIDQ2114605
Nourhane Attia, Djamila Seba, Abdelkader Nour, Ali Akgül
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01087-2
Hilbert spaceinner productnumerical approximationCaputo derivativereproducing kernel Hilbert space methodfractional relaxation-oscillation equation
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Fractional ordinary differential equations (34A08) Numerical methods for stiff equations (65L04)
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