Zobrazeno 1 - 10
of 461
pro vyhledávání: '"Generalizations of the derivative"'
Publikováno v:
Journal of King Saud University: Science, Vol 30, Iss 2, Pp 153-157 (2018)
The purpose of this present effort is to define a new fractional differential operator Tzβ,τ,γ, involving Srivastava–Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexit
Publikováno v:
International Journal of Heat and Mass Transfer. 115:1309-1320
In recent years, non-Newtonian fluids have been widely applied in a number of engineering applications. One particular subclass of non-Newtonian fluids is the generalized Oldroyd-B fluids with fractional derivative constitutive equations, which can b
Autor:
S. S. Postnov
Publikováno v:
Doklady Mathematics. 96:531-534
Two optimal control problems are studied for linear stationary systems of fractional order with lumped variables whose dynamics is described by equations with Hadamard derivative, a minimum-norm control problem and a time-optimal problem with a const
Publikováno v:
Transactions of A. Razmadze Mathematical Institute, Vol 171, Iss 2, Pp 171-181 (2017)
Positive homogeneous functions on R of a negative degree are characterized by a new counterpart of the Euler’s homogeneous function theorem using quantum calculus and replacing the classical derivative operator by Jackson derivative. As application
Shape derivative of the volume integral operator in electromagnetic scattering by homogeneous bodies
Autor:
Hamdi Sakly
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:7125-7138
We study the shape derivative of the strongly singular volume integral operator that describes time-harmonic electromagnetic scattering from homogeneous medium. We show the existence and a representation of the derivative, and we deduce a characteriz
Autor:
Dong Ho Lim, Sung A. Jun
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 102:151-159
Publikováno v:
Kyungpook mathematical journal. 57:109-124
Publikováno v:
Fundamenta Informaticae. 151:161-171
Publikováno v:
Optik. 130:273-286
The purpose of the current investigation is to generalize the concept of fractional derivative in the sense of Caputo–Fabrizio derivative (CF-derivative) for interval-valued function under uncertainty. The reason to choose this new approach is orig
Autor:
Dazhi Zhao, Maokang Luo
Publikováno v:
Calcolo. 54:903-917
Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this paper, we introduce a class of new fractional derivative named general conformable fractional derivative (GCFD) to describe the physical world. The GCFD is