Atangana–baleanu derivative
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 … 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 …
Atangana–baleanu derivative
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WebAtangana-Baleanu derivatives, this version takes into account the nonlinearity of the kernels including the power law for Riemann-Liouville case, the exponential decay law for Caputo-Fabrizio case and Mittag-Le er for Atangana-Baleanu case. Indeed when the fractional order turns to 1 one is expected to recover the classical Adams-Bashforth method. 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 ...
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 … 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.
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. … 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 …
WebJan 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 …
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 … havertown carpet.comWebJul 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 … borrow books free onlineWebA 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 ... borrow books from amazon prime readingWebFeb 1, 2024 · The constructions of physically adequate forms of the diffusion equation with implementation of the Atangana-Baleanu derivative with Mittag-Leffler exponential … borrow book kindle lending libraryWebA more recent study presented in discussed the Mittag–Leffler stability of FDEs using the new generalized Hattaf fractional (GHF) derivative , which includes many fractional … havertown bicycle shopWeb[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, … borrow books from library onlineWebSep 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. havertown brick and brew