New properties of conformable derivative
Open Mathematics, 2015 Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems.
Atangana Abdon +2 more
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Partial derivative Nonlinear Global Pandemic Machine Learning prediction of COVID 19. [PDF]
Chaos Solitons Fractals, 2020 Kavadi DP +3 more
europepmc +2 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2017 We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic in a bidisc functions, where $\mathbf{L}(z)=(l_1(z_1,z_2),$ $l_{2}(z_1,z_2)),$ $l_j:\mathbb{D}^2\to \mathbb{R}_+$ is a continuous function, $j\in\{1,2\},$
A.I. Bandura, N.V. Petrechko
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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Theorem on the differentiation of a composite function with a vector argument; pp. 195–200 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The paper provides a theorem on the differentiation of a composite function with a vector argument. The theorem shows how the partial derivative of the total derivative of the composite function can be expressed through the total derivative of the ...
Vadim Kaparin, Ülle Kotta
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On the derivative of the associated Legendre function of the first kind of integer order with respect to its degree [PDF]
, 2009 In our recent works [R. Szmytkowski, J. Phys. A 39 (2006) 15147; corrigendum: 40 (2007) 7819; addendum: 40 (2007) 14887], we have investigated the derivative of the Legendre function of the first kind, $P_{\nu}(z)$, with respect to its degree $\nu$.
A.E. Jolliffe +47 more
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Sensitivity and spatial resolution for electron-spin-resonance detection by magnetic resonance force microscopy [PDF]
, 1996 The signal intensity of electron spin resonance in magnetic resonance force microscopy (MRFM) experiments employing periodic saturation of the electron spin magnetization is determined by four parameters: the rf field H1, the modulation level of the bias
Hammel, P. C., Roukes, M. L., Zhang, Z.
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On Landau-Kolmogorov type inequalities for charges and their applications
Researches in Mathematics, 2023 In this article we prove sharp Landau-Kolmogorov type inequalities on a class of charges defined on Lebesgue measurable subsets of a cone in $\mathbb{R}^d$, $d\geqslant 1$, that are absolutely continuous with respect to the Lebesgue measure.
V.F. Babenko +3 more
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Unintended consequences of imprecise Notation -- an example from mechanics [PDF]
, 2012 We present a conundrum that results from the imprecise use of notation for partial derivatives. Taking an example from mechanics, we show that lack of proper care in representing partial derivatives in Lagrangian and Hamiltonian formulations ...
Asim Gangopadhyaya +2 more
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Measurability of Partial Derivatives [PDF]
Proceedings of the American Mathematical Society, 1977 Let f be a real function defined in R n {R_n} . In this note we give a sufficient condition in order that the set of points where the partial derivative ∂ f / ∂ x i \partial f/\partial {x_i}
Marcus, Moshe, Mizel, Victor J.
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