Results 11 to 20 of about 251,877 (284)
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
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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 +3 more
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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 +2 more
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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
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Elzaki residual power series method to solve fractional diffusion equation.
PLoS ONEThe 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 +2 more
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Modified Fractional Power Series Method for solving fractional partial differential equations
Scientific AfricanThe 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 +3 more
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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 +3 more
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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.
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Some New Results on Conformable Fractional Power Series
Asia Pacific Journal of Mathematics, 2020 In this paper, some important results of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using conformable fractional derivatives. The ratio test has been specifically established to calculate the radius of convergence of a fractional power series, and several theorems of ...
Francisco MartÃnez +3 more
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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 +4 more
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