Results 1 to 10 of about 28,047 (258)

Frequency bifurcation in a series-series compensated fractional-order inductive power transfer system

Journal of Advanced Research, 2020
This paper reveals and analyzes the frequency bifurcation phenomena in the fractional-order inductive power transfer (FOIPT) system with series-series compensation topology.
Xujian Shu, Bo Zhang, Chao Rong, Yanwei Jiang   +3 more
doaj   +5 more sources

New Results on Fractional Power Series: Theory and Applications [PDF]

Entropy, 2013
In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using Caputo fractional derivatives.
Ahmad El-Ajou, Omar Abu Arqub, Zeyad Al Zhour, Shaher Momani   +3 more
doaj   +3 more sources

A new iterative algorithm on the time-fractional Fisher equation: Residual power series method

Advances in Mechanical Engineering, 2017
In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution.
Maysaa’ Mohamed Al Qurashi, Zeliha Korpinar, Dumitru Baleanu, Mustafa Inc   +3 more
doaj   +2 more sources

Approximate Analytical Solutions of Time Fractional Whitham–Broer–Kaup Equations by a Residual Power Series Method

Entropy, 2015
In this paper, a new analytic iterative technique, called the residual power series method (RPSM), is applied to time fractional Whitham–Broer–Kaup equations. The explicit approximate traveling solutions are obtained by using this method.
Linjun Wang, Xumei Chen
doaj   +3 more sources

Fractional power series neural network for solving delay fractional optimal control problems

Connection Science, 2020
In this paper, we develop a numerical method for solving the delay optimal control problems of fractional-order. The fractional derivatives are considered in the Caputo sense.
Farzaneh Kheyrinataj, Alireza Nazemi
doaj   +2 more sources

Solution of Fractional Partial Differential Equations Using Fractional Power Series Method [PDF]

International Journal of Differential Equations, 2021
In this paper, we are presenting our work where the noninteger order partial differential equation is studied analytically and numerically using the noninteger power series technique, proposed to solve a noninteger differential equation.
Asif Iqbal Ali, Muhammad Kalim, Adnan Khan   +2 more
doaj   +2 more sources

Some Properties of the Functions Representable as Fractional Power Series

Mathematics
The α-fractional power moduli series are introduced as a generalization of α-fractional power series and the structural properties of these series are investigated.
Ghiocel Groza, Marilena Jianu, Ion Mierluş-Mazilu   +2 more
doaj   +3 more sources

Conversion of continued fractions into power series [PDF]

Mathematics of Computation, 1975
In Section 1, continued fractions of the special form (
Zajta, A. J., Pandikow, W.
openaire   +2 more sources

A Vector Series Solution for a Class of Hyperbolic System of Caputo Time-Fractional Partial Differential Equations With Variable Coefficients

Frontiers in Physics, 2021
In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional partial differential equations with variable coefficients. The fractional derivative has been considered by the concept of Caputo.
Ahmad El-Ajou, Zeyad Al-Zhour
doaj   +1 more source

Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function

Alexandria Engineering Journal, 2022
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh, Aliaa Burqan, Ahmad El-Ajou   +2 more
doaj   +1 more source