Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel

Khaled M. Saad and J.F. Gómez-Aguilar

Physica A: Statistical Mechanics and its Applications, 2018, vol. 509, issue C, 703-716

Abstract: In this paper, we obtain analytical solutions for the fractional cubic isothermal auto-catalytic chemical system with Caputo–Fabrizio and Atangana–Baleanu fractional time derivatives in Liouville–Caputo sense. We utilize the q-homotopy analysis transform method to compute the approximate solutions. We find the optimal values of h so we assure the convergence of the approximate solutions. Finally, we compare our results numerically with the finite difference method and excellent agreement is found.

Keywords: Fractional isothermal auto-catalytic chemical systems; q-HATM; Caputo–Fabrizio; Atangana–Baleanu; h-curves (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:509:y:2018:i:c:p:703-716

DOI: 10.1016/j.physa.2018.05.137

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