Atangana–baleanu derivative
WebFeb 14, 2024 · We apply the new Atangana–Baleanu derivative in Caputo sense to study gas dynamics equations of arbitrary order using modified homotopy analysis transform … WebA new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some …
Atangana–baleanu derivative
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WebIt was recently claimed that fractional-order derivatives defined by continuous (in the sense of non-singular) kernels are too restrictive. This note shows that this conclusion is wrong as it arises from considering the initial conditions incorrectly in (partial or not) fractional differential equations. ... Atangana, A.; Baleanu, D. New ... WebA more recent study presented in discussed the Mittag–Leffler stability of FDEs using the new generalized Hattaf fractional (GHF) derivative , which includes many fractional …
WebHere, the classical time derivatives in such systems are replace with the Atangana–Baleanu fractional derivative in the sense of Caputo. This derivative is found … WebApr 13, 2024 · A. Atangana, D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel, arXiv Preprint, 2016. ... M. A. Hussein, A review on integral transforms of the fractional derivatives of Caputo Fabrizio and Atangana-Baleanu, Eurasian J. Media Commun., 7 (2024), ...
WebFeb 14, 2024 · In this chapter we especially related the results of the Atangana–Baleanu derivative, more precisely the form of the construction of its related integral in order to … WebJul 10, 2024 · In 2016, Atangana and Baleanu [] suggested a fractional derivative operator based on the well-known generalized Mittag-Leffler function.Many researchers have applied this operator in various mathematical model, for example, Chua’s circuit model [], RC, LC, and RL electircal circuits [], the Cattaneo–Hristov model of elastic heat diffusion, and the …
WebJun 19, 2024 · Abstract. A modified fractional model for the magnetohydrodynamic (MHD) flow of a fluid is developed utilizing Atangana–Baleanu fractional derivative (ABFD). …
WebJul 31, 2024 · In this manuscript, we have proposed a comparison based on newly defined fractional derivative operators which are called as Caputo-Fabrizio (CF) and Atangana-Baleanu (AB). In 2015, Caputo and Fabrizio established a new fractional operator by using exponential kernel. After one year, Atangana and Baleanu recommended a different … how to completely clear an ipadWebThe power law has been used to construct the derivative with fractional order in Caputo and Riemann- Liouville sense, if we viewed them as a convolution. However, it is not always … how to completely close discordTitle: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz … how to completely deactivate bing edgeWebInspired from the aforesaid discussion, in this paper, we investigate the COVID-19 model under the new type derivatives as where, in the above model, stands for Atangana-Baleanu-Caputo (ABC) derivative of order . We shall analyze the above model from various aspects including existence theory and series type solution. how to completely delete a facebook accounthow to completely delete a discord accountWebJul 31, 2024 · The Atangana–Baleanu–Caputo (\(\mathbb{ABC}\)) fractional derivative operator is one of the most popular fractional derivative operators. A fractional-order derivative was first roused into operation by Atangana and Baleanu [ 30 ] under the rule of a generalized Mittag-Leffler function in the part of a non-singular and non-local kernel. how to completely delete a game on pcWebDec 22, 2024 · In this work, we shall present Dufort–Frankel finite-difference method for fractional-order pseudohyperbolic telegraph partial differential equation such as Caputo … how to completely delete a file on windows 10