| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000460944 |
| ISSN: | 0035-001X |
| Authors: | Saad, Khaled M1 Gómez Aguilar, J.F3 |
| Institutions: | 1Najran University, Faculty of Arts and Sciences, Najran. Arabia Saudita 2Taiz University, College of Applied Science, Taiz. Yemen 3Tecnológico Nacional de México, Cuernavaca, Morelos. México |
| Year: | 2018 |
| Season: | Sep-Oct |
| Volumen: | 64 |
| Number: | 5 |
| Pages: | 539-547 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | In this paper, we have generalized the fractional cubic isothermal auto-catalytic chemical system (FCIACS) with Liouville-Caputo, Caputo- Fabrizio-Caputo, and Atangana-Baleanu-Caputo fractional time derivatives, respectively. We apply the Homotopy Analysis Transform Method (HATM) to compute the approximate solutions of FCIACS using these fractional derivatives. We study the convergence analysis of HATM by computing the residual error function. Also, we find the optimal values of h so we assure the convergence of the approximate solutions. Finally we show the behavior of the approximate solutions graphically. The results obtained are very effectiveness and accuracy. 2010 Mathematics Subject Classification: 34A34, 35R11, 65M12, 26A33, 34A08, 35-XX |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Sistemas químicos autocatalíticos isotérmicos fraccionados, Método de transformación del análisis homotópico, Derivada fraccionaria de Liouville-Caputo, Derivada fraccionaria de Atangana-Baleanu |
| Keyword: | Curvas h, Physics, Fractional isothermal auto-catalytic chemical systems, Homotopy Analysis Transform Method (HATM), Liouville-Caputo fractional derivative, Caputo-Fabrizio fractional derivative, Atangana-Baleanu fractional derivative, H-curves |
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