Results 21 to 30 of about 29,735 (296)

Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method [PDF]

Mathematical Problems in Engineering, 2016
This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems inRn.
Xu, Fei, Gao, Yixian, Yang, Xue, Zhang, He   +3 more
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Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models

Arab Journal of Basic and Applied Sciences, 2022
In this paper, we introduced, discussed, and investigated analytical-approximate solutions for nonlinear time fractional gas dynamics equations in terms of conformable differential operator. The proposed algorithm relies upon the conformable power series
Rasha, Amryeen, Fatimah Noor Harun, Mohammed Al-Smadi, Azwani Alias   +4 more
doaj   +1 more source

Analytical Solutions of Heat Transfer Model in Two-Dimensional Case of Neutrosophic Fredholm Integro-Di erential Equations [PDF]

Neutrosophic Sets and Systems
This article uses the fractional residual power series (FRPS) method to solve a linear neutrosophic fractional integro-differential equation in two dimensions.
Amer Darweesh, Kamel Al- Khaled, Marwan Alquran, Adel Almalki , Sohad Al-Omari   +4 more
doaj   +1 more source

Analytic solution of homogeneous time-invariant fractional IVP

Advances in Difference Equations, 2018
In this work, we propose a novel analytical solution approach for solving a general homogeneous time-invariant fractional initial value problem in the normal form Dtα[u(x‾,t)]=F(u(x‾,t)),0 ...
Imad Jaradat, Marwan Alquran, Mohammad Al-Dolat   +2 more
doaj   +1 more source

Fractional Power Series Solutions for Systems of Equations [PDF]

Discrete & Computational Geometry, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Persistence and cyclical dependence in the monthly Euribor rate [PDF]

, 2011
Copyright @ 2011 Brunel UniversityThis paper analyses two well-known features of interest rates, namely their time dependence and their cyclical structure.
Gil-Alana, Luis A., Caporale, GM, Caporale, Guglielmo Maria, Gil-Alana, LA   +3 more
core   +1 more source

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

Alexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour, Nouf Al-Mutairi, Fatimah Alrawajeh, Raed Alkhasawneh   +3 more
doaj   +1 more source

Long memory and fractional integration in high frequency data on the US Dollar / British Pound spot exchange rate [PDF]

, 2013
This paper analyses the long-memory properties of a high-frequency financial time series dataset. It focuses on temporal aggregation and other features of the data, and how they might affect the degree of dependence of the series.
Gil-Alana, Luis A., Caporale, GM, Caporale, Guglielmo Maria, Gil-Alana, LA   +3 more
core   +1 more source

Simple wald tests of the fractional integration parameter: an overview of new results [PDF]

, 2008
Forthcoming 2008This paper presents an overview of some new results regarding an easily implementable Wald test-statistic (EFDF test) of the null hypotheses that a time-series process is I(1) or I(0) against fractional I(d) alternatives, with d ∈ (0, 1),
Gonzalo, Jesús, Laura Mayoral, Juan J. Doladom, Dolado, Juan José, Jesus Gonzalo, Mayoral, Laura   +5 more
core   +1 more source

Fractional Power Series and Pairings on Drinfeld Modules [PDF]

Journal of the American Mathematical Society, 1996
Let C C be an algebraically closed field containing
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