Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate
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DOI: 10.1051/mmnp/2018007
Abstract: Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and… read more here.
Keywords: atangana baleanu; baleanu fractional; fractional derivative; maxwell ... See more keywords
Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives
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DOI: 10.1186/s13660-018-1635-9
Abstract: The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana–Baleanu fractional derivative. Since the new Atangana–Baleanu fractional derivative is non-singular and non-local, the Euler–Lagrange equations are proposed… read more here.
Keywords: atangana baleanu; fractional herglotz; fractional derivative; baleanu fractional ... See more keywords
Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative
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DOI: 10.2298/fil1816633d
Abstract: The new definition of the fractional derivative was defined by Atangana and Baleanu in 2016. They used the generalized Mittag-Leffler function with the non-singular and non-local kernel. Further, their version provides all properties of fractional… read more here.
Keywords: atangana baleanu; segel model; fractional derivative; keller segel ... See more keywords
Some Subordination Results for Atangana-Baleanu Fractional Integral Operator Involving Bessel Functions
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DOI: 10.3390/sym14020358
Abstract: We propose, in the present paper, to derive some differential subordination results. The work is developed in the case of analytic functions defined on the open unit disc. The results will be formulated by making… read more here.
Keywords: fractional integral; baleanu fractional; integral operator; bessel functions ... See more keywords
Applications of the Atangana-Baleanu Fractional Integral Operator
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DOI: 10.3390/sym14030630
Abstract: Applications of the Atangana–Baleanu fractional integral were considered in recent studies related to geometric function theory to obtain interesting differential subordinations. Additionally, the multiplier transformation was used in many studies, providing elegant results. In this… read more here.
Keywords: fractional integral; operator; baleanu fractional; applications atangana ... See more keywords