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Numerical solution of fractal-fractional Mittag-Leffler differential equations with variable-order using artificial neural networks
Journal article   Peer reviewed

Numerical solution of fractal-fractional Mittag-Leffler differential equations with variable-order using artificial neural networks

C. J. Zuniga-Aguilar, J. F. Gomez-Aguilar, H. M. Romero-Ugalde, R. F. Escobar-Jimenez, G. Fernandez-Anaya and Fawaz E. Alsaadi
Engineering with computers, Vol.38(3), pp.2669-2682
01/06/2022
DOI: https://doi.org/10.1007/s00366-020-01229-y

Abstract

Computer Science Computer Science, Interdisciplinary Applications Engineering Engineering, Mechanical Science & Technology Technology
In this work, a methodology based on a neural network to solve fractal-fractional differential equations with a nonsingular and nonlocal kernel is proposed, the neural network is optimized by the Levenberg-Marquardt algorithm. For evaluating the neural network, different chaotic oscillators of variable order are solved and compared with algorithms of numeric approximation.

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