Results 51 to 60 of about 95,896 (162)

An Operator-Based Scheme for the Numerical Integration of FDEs

Mathematics, 2021
An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary ...
Inga Timofejeva, Zenonas Navickas, Tadas Telksnys, Romas Marcinkevicius, Minvydas Ragulskis   +4 more
doaj   +1 more source

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj   +1 more source

Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones

Mathematics, 2022
In this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.
Ling Zhu
doaj   +1 more source

Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations

International Journal of Differential Equations, 2018
This paper aims to present a novel optimization technique, the residual power series (RPS), for handling certain classes of fuzzy fractional differential equations of order ...
Mohammad Alaroud, Mohammed Al-Smadi, Rokiah Rozita Ahmad, Ummul Khair Salma Din   +3 more
doaj   +1 more source

Residual power series method for fractional Burger types equations

Nonlinear Engineering, 2016
We present an analytic algorithm to solve the generalized Berger-Fisher (B-F) equation, B-F equation, generalized Fisher equation and Fisher equation by using residual power series method (RPSM), which is based on the generalized Taylor’s series formula ...
Kumar Amit, Kumar Sunil
doaj   +1 more source

On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation

Demonstratio Mathematica, 2022
For an entire function solution of generalized bi-axisymmetric potential equation, we obtain a relationship between the generalized growth characteristics and polynomial approximation errors in sup norm by using the general functions introduced by ...
Kumar Devendra, Alghamdi Azza M.
doaj   +1 more source

Special Properties of Generalized Power Series

Journal of Algebra, 1995
Given a commutative ring \(R\) and a strictly ordered monoid \((S, \leq)\), the generalized power series ring \(A = R[[S, \leq]]\) is defined to be the set of all maps \(f : S \to R\) such that support\((f) = \{s \in S : f(s) \neq 0\}\) is artinian and narrow. The addition and multiplication on \(A\) are defined appropriately.
openaire   +2 more sources

Random power series generated by ergodic transformations [PDF]

Transactions of the American Mathematical Society, 1986
Generalizing classical studies of power series with sequences of independent random variables as coefficients, we study series of the forms \[
Halchin, Judy, Petersen, Karl
openaire   +1 more source

A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions

Researches in Mathematics
We propose an algorithm for expanding a formal triple power series into a three-dimensional corresponding to this series associated continued fraction, which generalized one of the simplest algorithms for expanding a formal power series into a ...
Kh.Yo. Kuchminska, R.M. Deyneka
doaj   +1 more source

A Method for Accelerating of Convergence of Numerical and Power Series

SEEU Review, 2019
In this paper is examined the acceleration of convergence of alternative and non-alternative numerical and power series by means of an Euler-Abel type operator, that is defined earlier by G.A.Sorokin and I.Z.Milovanovic.
Sadiku Murat
doaj   +1 more source