被撤回的出版物: Power and exponentials laws: Theory and application (Retracted article. See vol. 394, 2021)

[摘要] In this paper we present novel derivatives based on exponential and power-law kernel. Important properties and numerical approximations via Riemann-Liouville-Caputo for first and second order were obtained. We applied the new operators to describe different attractors and the advection-diffusion equation. Interesting simulations were obtained for different values of the fractional orders alpha and beta. We showed that the new operator is useful in practical applications and the numerical simulations show the efficiency and the accuracy of the new derivative to modeling real world problems. (C) 2019 Elsevier B.V. All rights reserved.

[发布日期] 2019-07-01

[效力级别]  Retracted Publication

[关键词] Power-law kernel;Exponential decay kernel;Hyper-geometric function;Two fractional orders