Results 1 to 10 of about 250,457 (286)

Fractional Power Series and Pairings on Drinfeld Modules [PDF]

Journal of the American Mathematical Society, 1995
Let $C$ be an algebraically closed field containing the finite field $F_q$ and complete with respect to an absolute value $|\;|$. We prove that under suitable constraints on the coefficients, the series $f(z) = \sum_{n \in \Z} a_n z^{q^n}$ converges to a
Poonen, Bjorn
core   +4 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

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

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   +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

Elzaki residual power series method to solve fractional diffusion equation.

PLoS ONE
The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers.
Rajendra Pant, Geeta Arora, Homan Emadifar   +2 more
doaj   +4 more sources

Modified Fractional Power Series Method for solving fractional partial differential equations

Scientific African
The literature revealed that the Fractional Power Series Method (FPSM), which uses the Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the solutions of fractional partial differential equations (FPDEs) in one dimension ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +2 more sources

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
openaire   +2 more sources

Conversion of continued fractions into power series [PDF]

Mathematics of Computation, 1975
In Section 1, continued fractions of the special form ( 1 ) [ u n k ] \begin{equation}\tag {$1$} [unk]\end{equation} are considered, and a ...
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