A novel method to solve variable-order fractional delay differential equations based in lagrange interpolations

C.J. Zúñiga-Aguilar, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez and H.M. Romero-Ugalde

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 266-282

Abstract: In this work, we present a novel numerical method based on the fundamental theorem of fractional calculus and the Lagrange polynomial interpolation to solve numerically fractional delay differential equations. We focus on the fractional derivative with power-law, exponential decay and Mittag-Leffler kernel of Liouville-Caputo type with constant and variable-order. The numerical methods were applied to simulate the Duffing attractor, El-Niño/Southern-Oscillation, and Ikeda systems.

Keywords: Fractional calculus; Mittag-Leffler kernel; Lagrange interpolation; Fractional delay differential equations; Variable-order fractional operators (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:266-282

DOI: 10.1016/j.chaos.2019.06.009

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