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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Fractional Power Series Method for Solving Fractional Differential Equations
, 2022 {"references": ["[1]\tJ. P. Yan, C. P. Li, On chaos synchronization of fractional differential equations, Chaos, Solitons & Fractals, vol. 32, pp. 725-735, 2007.", "[2]\tG. Jumarie, Path probability of random fractional systems defined by white noises in coarse-grained time applications of fractional entropy, Fractional Differential Equations, vol.
Chii-Huei Yu
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Exact Solutions of Some Fractional Power Series
, 2023 Abstract: In this paper, we obtain the exact solutions of two fractional power series. A new multiplication of fractional power series and Jumarie type of Riemann-Liouville (R-L) fractional calculus play important roles in this article. In fact, our results are generalizations of ordinary calculus results.
Chii-Huei Yu
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Power series solution of the fractional logistic equation [PDF]
Physica 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
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Fractional power series method for solving fractional differemtial equation [PDF]
JOURNAL OF ADVANCES IN MATHEMATICS, 2016 we use fractional power series method (FPSM) to solve some linear or nonlinear fractional differential equations . Compared to the other method, the FPSM is more simple, derect and effective.
Runqing Cui, Yue Hu
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Continued fractions for linear fractional transformations of power series
Finite Fields and Their Applications, 2005 The author gives us an algorithm for obtaining the continued fraction transformation of a power series. In section 4, at the end of the paper, an application to algebraic power series is presented.
Lee, Kwankyu
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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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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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Analytical Solution of the Fractional Fredholm Integrodifferential Equation Using the Fractional Residual Power Series Method [PDF]
Complexity, 2017 We study the solution of fractional Fredholm integrodifferential equation. A modified version of the fractional power series method (RPS) is presented to extract an approximate solution of the model.
Muhammed I. Syam
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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 (
Zajta, A. J., Pandikow, W.
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