Numerical solution of fractal-fractional Mittag–Leffler differential equations with variable-order using artificial neural networks
| Autor: | Fawaz E. Alsaadi, Ricardo Fabricio Escobar-Jiménez, H. M. Romero-Ugalde, C. J. Zúñiga-Aguilar, Guillermo Fernández-Anaya, José Francisco Gómez-Aguilar |
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| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Quantitative Biology::Neurons and Cognition Artificial neural network Differential equation Computer Science::Neural and Evolutionary Computation General Engineering Order (ring theory) Computer Science Applications law.invention Invertible matrix Fractal law Modeling and Simulation Kernel (statistics) Applied mathematics Software Mathematics Variable (mathematics) |
| Zdroj: | Engineering with Computers. 38:2669-2682 |
| ISSN: | 1435-5663 0177-0667 |
| DOI: | 10.1007/s00366-020-01229-y |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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