Atangana–baleanu derivative

Author: wumh

August undefined, 2024

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 … 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.

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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 ... WebJul 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. dash search

Natural convection flow of a fluid using Atangana and Baleanu ...

WebMar 19, 2024 · The Atangana–Baleanu fractional derivative operator involving the Mittag-Leffler kernel is used to analyze SEIRA mathematical model in . From the above-surveyed works of the literature we can say that fractional derivatives have many applications in mathematical modeling and analysis of real phenomena. In particular, the recently … 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 … 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. Sci. 20 ( 2016 ) 763 – 769 . dash scotch

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WebMar 31, 2024 · This study is the first to implement an Atangana–Baleanu (AB) derivative in association with the fractional SAIDR model, depending upon the SAIDR model. The existence and uniqueness of the drinking model solutions together with the stability analysis are shown through the Banach fixed point theorem. WebSep 9, 2016 · [9] A. Atangana, D. Baleanu, New fractional derivative with non-local and non-singular kernel: theory and application to heat transfer model, Therm. Sci., 20 (2016), 763–769. Google Scholar [10] A. Atangana, I. Koca, Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order, Chaos Solitons Fractals, 89 … bitesize gcse geography edexcelWebJul 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 … dash seam phone holder

"WebJan 1, 2024 · The constructions of physically adequate forms of the diffusion equation with implementation of the Atangana–Baleanu derivative with Mittag-Leffler exponential … " - Atangana–baleanu derivative

Atangana–baleanu derivative

Comparing the Atangana–Baleanu and Caputo–Fabrizio …

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. WebJun 27, 2024 · Atangana–Baleanu (AB) fractional derivative solves some outstanding problems in the field of fractional differentiation because of its nonsingular and nonlocal kernel characteristics. It also provides a new research direction for the application of fractional derivatives in the constitutive modeling of rock and soil materials. In this …

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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 … 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 …

Title: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz … 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), ...

WebJun 27, 2024 · Atangana–Baleanu (AB) fractional derivative solves some outstanding problems in the field of fractional differentiation because of its nonsingular and nonlocal …

WebMay 1, 2024 · A new application of fractional Atangana-Baleanu derivatives: Designing ABC-fractional masks in image processing. Physica A (2024), p. 123516. Google Scholar [32] A. Salari, B. Ghanbari. Existence and multiplicity for some boundary value problems involving Caputo and Atangana-Baleanu fractional derivatives: A variational approach.

WebAug 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. bitesize gcse history medicineWebAug 1, 2016 · To solve the problem of non-singular and nonlocal kernel, Atangana and Baleanu proposed two generalized fractional derivatives in Caputo and … bitesize gcse english language paper 2WebHere, the classical time derivatives in such systems are replace with the Atangana–Baleanu fractional derivative in the sense of Caputo. This derivative is found … dash searsWebJan 2, 2024 · Atangana–Baleanu fractional derivative in a convergent series of Riemann–Liouville fractional integrals, and establish commutative results of the weighted … dash search barWebA Atangana, D Baleanu, A Alsaedi. Open Mathematics 13 (1), 2015. 458: 2015: Discrete fractional logistic map and its chaos. GC Wu, D Baleanu. Nonlinear Dynamics 75, 283-287, 2014. 450: ... Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer. A Atangana, D Baleanu. Journal of Engineering Mechanics 143 (5), D4016005 ... bitesize gcse history edexcelWebInspired 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. bitesize gcse history edexcel cold warWebJan 18, 2024 · This means the Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during … dash scotch oakburn