Atangana–baleanu derivative

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August undefined, 2024

WebOct 1, 2024 · We study linear and nonlinear fractional differential equations of order 0 < α < 1, involving the Atangana–Baleanu fractional derivative. Title: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz …

Solution for ABC-fractional order neutral impulsive differential ...

Web[22] Pho K.H., Heydari M.H., Tuan B.A., Mahmoudi M.R., Numerical study of nonlinear 2d optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense, Chaos Solitons Fractals 134 (2024). Google Scholar [23] Luke Y.L., The Special Functions and their Approximations, Academic Press, New York, … WebApr 1, 2016 · In 2015 Caputo and Fabrizio suggested a new operator with fractional order, this derivative is based on the exponential kernel. Earlier this year 2016 Atangana and Baleanu developed another ... gardenia washington

On weighted Atangana–Baleanu fractional operators

WebJan 1, 2024 · The constructions of physically adequate forms of the diffusion equation with implementation of the Atangana–Baleanu derivative with Mittag-Leffler exponential … WebDec 22, 2024 · In this work, we shall present Dufort–Frankel finite-difference method for fractional-order pseudohyperbolic telegraph partial differential equation such as Caputo … 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 … black olive baltimore md

Numerical Computation of Optimal Control Problems …

NEW FRACTIONAL DERIVATIVES WITH NONLOCAL AND …

WebJun 6, 2024 · A. Atangana and I. Koca, “ Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order,” Chaos, Solitons Fractals 1, 1– 18 (2016). Google Scholar; 40. M. Caputo and M. Fabrizio, “ Applications of new time and spatial fractional derivatives with exponential kernels,” Progr. Fract. Differ. Appl. 1(2), 1 ... black olive apartments bozemanWebJun 27, 2024 · Atangana–Baleanu (AB) fractional derivative solves some outstanding problems in the field of fractional differentiation because of its nonsingular and nonlocal … gardenia yellow color

"WebAtangana and Baleanu, 2016 Atangana A., Baleanu D. , New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model , Therm. … " - Atangana–baleanu derivative

Atangana–baleanu derivative

WebInspired 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. WebA. Atangana and B. S. T. Alkahtani , Analysis of the Keller–Segel model with a fractional derivative without singular kernel, Entropy 17(6) (2015) 4439–4453. Crossref, ISI, Google Scholar; 12. A. Jajarmi, S. Arshad and D. Baleanu , A new fractional modelling and control strategy for the outbreak of dengue fever, Physica A 535 (2024) 122524.

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WebApr 15, 2024 · In recent years, the new derivative of the fractional order with Mittag Leffler function as a kernel [21] called the Atangana–Baleanu derivative, or AB-derivative in short, has been become a topic of keen interest. Atangana [22] introduced the AB-derivative based on Caputo (ABC) and Riemann–Liouville (ABR) approaches that … WebSep 23, 2024 · Ghanbari, A. Atangana, A new application of fractional Atangana-Baleanu derivatives: Designing ABC-fractional masks in image processing, Physica A: Statistical Mechanics and its Applications, 542 (2024) 123516.

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 … 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 …

WebJan 2, 2024 · Atangana–Baleanu fractional derivative in a convergent series of Riemann–Liouville fractional integrals, and establish commutative results of the weighted … WebThis paper introduces a fractional version of reaction-diffusion equations with non-local boundary conditions via a non-singular fractional derivative defined by Atangana and Baleanu. The orthonormal discrete Legendre polynomials are introduced as suitable family of basis functions to find the solution of these equations.

WebApr 8, 2024 · The main aim of this study is to apply the recent definition of fractional derivative i.e. Atangana-Baleanu time-fractional derivative on second grade fluid …

WebAtangana–Baleanu fractional derivative. In 2016, Atangana and Baleanu suggested differential operators based on the generalized Mittag-Leffler function. The aim was to … black olive benefits for healthWebDec 1, 2024 · Two fractional Swartzendruber models applying the Atangana-Baleanu (A-B) derivative are proposed to describe non-Darcy flow in porous media. The analytical … garden ice café montauban facebookWebMar 17, 2024 · A. Atangana, D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model, Therm. Sci., 20 (2016). [30] A. Atangana, I. Koca, Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order, Chaos, Solitons & Fractals, 89 (2016), 447–454. black old west outlawsWebof the captive derivative is mostly used to model real world problems because it allows the use of initial conditions. The problem encountered in this version, however, is singularity due to the function used to induce the local derivative. Atangana-Baleanu fractional derivative [3] in the sense of Caputo is also quite assertive in this regard. black olive bread in a bread machineWebJun 19, 2024 · Abstract. A modified fractional model for the magnetohydrodynamic (MHD) flow of a fluid is developed utilizing Atangana–Baleanu fractional derivative (ABFD). … gardenibg with containers you hveWebIn this article, we analysed the fractional diffusion equations by using the new fractional derivative recently introduced by Abdon Atangana and Dumitru Baleanu based on the … black olive and green olive mixtureWebAug 1, 2016 · The Atangana–Baleanu derivatives with fractional order have indeed a fractional integral as anti-derivative of their operators [7], [8]. This works aims to extend the Allen Cahn model of reaction diffusion to the scope of fractional calculus using both Caputo–Fabrizio and Atangana–Baleanu derivatives with fractional order. black olive campus