Atangana–baleanu derivative
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. WebDec 20, 2024 · Abstract. The main focus of this paper is centered around approximate controllability results of Atangana–Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust–Karlin fixed point techniques, the key findings are established. We begin by …
Atangana–baleanu derivative
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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 …
WebThe 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 … WebMay 26, 2024 · In this paper, DSEK model with fractional derivatives of the Atangana-Baleanu Caputo (ABC) is proposed. This paper gives a brief overview of the ABC …
Webof 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. WebSep 1, 2024 · In this paper, we study fractional-order optimal control problems (FOCPs) involving the Atangana-Baleanu fractional derivative. A computational method based on B-spline polynomials and their operational matrix of Atangana-Baleanu fractional integration is proposed for the numerical solution of this class of problems.
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.
WebDec 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 … skyrim can\u0027t get well restedWebApr 12, 2024 · In this work, a fractional integral sliding-mode control scheme based on the Caputo-Fabrizio derivative and the Atangana-Baleanu integral of the Stanford robot for … skyrim can\u0027t go to fort dawnguardWebInspired 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. skyrim can\u0027t give child giftWebJul 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 … skyrim can\u0027t go back to first personWebJul 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. sweatpants walmart menWebAtangana–Baleanu fractional derivative. In 2016, Atangana and Baleanu suggested differential operators based on the generalized Mittag-Leffler function. The aim was to … skyrim can\u0027t hear npc when facing themWebAug 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. sweatpants walmart canada