Results 31 to 40 of about 251,877 (284)

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients

open access: yesDiscrete Dynamics in Nature and Society, 2018
This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
doaj   +1 more source

Fractional Power Series Solutions for Systems of Equations [PDF]

open access: yesDiscrete & Computational Geometry, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A Systematic Approach to Delay Functions

open access: yesMathematics, 2023
We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations.
Christopher N. Angstmann   +4 more
doaj   +1 more source

Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation [PDF]

open access: yes, 2007
We establish bounds for the covariance of a large class of functions of infinite variance stable random variables, including unbounded functions such as the power function and the logarithm.
Abry, Patrice   +2 more
core   +3 more sources

Study of a Fractional Power Series

open access: yes, 2023
International Journal of Recent Research in Civil and Mechanical Engineering (IJRRCME), ISSN 2393-8471, Paper Publications, Website: www.paperpublications ...
openaire   +1 more source

Power series solution of the fractional logistic equation

open access: yesPhysica A: Statistical Mechanics and its Applications, 2021
Using a series of fractional powers we present a representation of the solution to the fractional logistic equation is presented. To simplify we consider the simplest case and prove that the power series is indeed the exact solution. Some numerical approximations are presented to show the good approximations obtained by truncating the fractional power ...
I. Area, J.J. Nieto
openaire   +3 more sources

A Type of Fractional Power Series

open access: yes, 2023
Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional analytic functions, a type of fractional power series is studied. We can find the exact solution of this fractional power series by using some methods.
openaire   +1 more source

New approaches for the solution of space-time fractional Schrödinger equation

open access: yesAdvances in Difference Equations, 2020
The aim of this study is to establish the solution of the time-space fractional Schrödinger equation subject to initial and boundary conditions which has many applications in science such as nonlinear optics, plasma physics, super conductivity, based on ...
Ali Demir   +2 more
doaj   +1 more source

A fractional q-integral operator associated with a certain class of q-Bessel functions and q-generating series

open access: yesAdvances in Difference Equations, 2021
This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari   +2 more
doaj   +1 more source

Analytical Solution of Nonlinear Fractional Gradient-Based System Using Fractional Power Series Method

open access: yesInternational Journal of Analysis and Applications, 2022
This paper adapted a reliable treatment technique, called the fractional residual power series, to the fractional gradient-based system in solving a class of nonlinear programming model in Caputo’s sense. The gradient-based system has been constructed to
Radwan Abu-Gdairi
doaj   +1 more source

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