Results 71 to 80 of about 95,896 (162)

Parameterized Fractal–Fractional Analysis of Ostrowski- and Simpson-Type Inequalities with Applications

Fractal and Fractional
In this paper, we first introduce a parametric identity for generalized differentiable functions using a generalized fractal–fractional integral operators.
Saad Ihsan Butt, Muhammad Mehtab, Youngsoo Seol   +2 more
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An analytical solution to the time fractional Navier–Stokes equation based on the Katugampola derivative in Caputo sense by the generalized Shehu residual power series approach

Partial Differential Equations in Applied Mathematics
The Navier–Stokes equations describe the behavior of viscous fluids and establish a fundamental connection between the application of external forces on fluid motion and the resulting pressure within the fluid. The objective of this study is to solve the
W. Sawangtong, P. Dunnimit, B. Wiwatanapataphee, P. Sawangtong   +3 more
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On t-closedness of generalized power series rings

Journal of Pure and Applied Algebra, 2002
Let \(A\subset B\) be an extension of commutative rings. We say that \(A\) is \(t\)-closed in \(B\) if, whenever \(b^2-ab\), \(b^3-ab^2\in A\) for \(a\in A\) and \(b\in B\), then \(b\in A\). We say that property \({\mathcal P}_1(A,B)\) holds if, whenever \(ab\in A\) for \(a\in A\) and \(b\in B\), then \(ab^2\in A\).
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Irreducibility in generalized power series

A classical tool in the study of real closed fields are the fields $K((G))$ of generalized power series (i.e., formal sums with well-ordered support) with coefficients in a field $K$ of characteristic 0 and exponents in an ordered abelian group $G$. In this paper we enlarge the family of ordinals $α$ of non-additively principal Cantor degree for which $
Fornasiero, Antongiulio, Lavi, Noa, L'Innocente, Sonia, Mantova, Vincenzo   +3 more
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A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method

Discrete Dynamics in Nature and Society, 2015
We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula.
Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim   +2 more
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Functional correlation of parameters and criteria of rational choice for electric device

Electrical engineering & Electromechanics, 2014
The existing theoretical and experimental dependences between power, electromagnetic and mass-overall dimension parameters of electric device have been analyzed. The choice of the generalized linear size has been substantiated.
M.V. Zagirnyak, V.V. Prus, B.I. Nevzlin
doaj  

Analytical treatment of the fractional Zakharov–Kuznetsov equation via the generalized integral residual power series method

Scientific Reports
This study presents a generalized integral residual power series method (GIRPSM) for finding semi-analytical solutions to the nonlinear fractional Zakharov–Kuznetsov equation (FZKE).
Samy A. Abdelhafeez, Anas A. M. Arafa, Yousef H. Zahran, Moutaz Ramadan, Ibrahim S. I. Osman   +4 more
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Monotonicity Results of Ratios between Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine

Mathematics
In the paper, the authors establish the monotonicity results of the ratios between normalized tails of the Maclaurin power series expansions of the sine and cosine functions and restate them in terms of the generalized hypergeometric functions.
Da-Wei Niu, Feng Qi
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Master integrals for e + e − → 2γ process at large energies and angles

Journal of High Energy Physics
We calculate master integrals for the two-loop QED corrections to e + e − → 2γ in terms of generalized power series with respect to electron mass. The coefficients of this series are expressed via Goncharov’s polylogarithms.
Roman N. Lee, Vyacheslav A. Stotsky
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On generalized power-series [PDF]

Studia Mathematica, 1951
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