Results 21 to 30 of about 8,873,429 (247)
Abstract and Applied Analysis, 2013 Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
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Analytical solution of the time fractional Navier-Stokes equation
Ain Shams Engineering Journal, 2018 In this paper we will use the residual power series (RPS) method to generate the solution of the nonlinear time fractional Navier-Stokes equation in two dimensions in the form of a rapidly convergent series, where we adopted the definition of Caputo to ...
Khaled K. Jaber, Rami S. Ahmad
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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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A Systematic Approach to Delay Functions
Mathematics, 2023 We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations.
Christopher N. Angstmann +4 more
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Discrete Dynamics in Nature and Society, 2018 This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
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Results in Physics, 2019 In this paper, we present numerical analytical solutions of a fractional multi-pantograph system by using two attractive methods with rapidly convergence, control of the convergence region and easily software accounts of the infinite series solutions ...
Ahmad El-Ajou +3 more
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Infant mortality rates: Time trends and fractional integration [PDF]
, 2011 This paper examines the time trends in infant mortality rates in a number of countries in the 20th century. Rather than imposing that the error term is a stationary I(0) process, we allow for the possibility of fractional integration and hence for a much
Caporale, GM, Gil-Alana, LA
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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International Journal of Analysis and Applications, 2022 This paper adapted a reliable treatment technique, called the fractional residual power series, to the fractional gradient-based system in solving a class of nonlinear programming model in Caputo’s sense. The gradient-based system has been constructed to
Radwan Abu-Gdairi
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Long memory and fractional integration in high frequency financial time series [PDF]
, 2010 This paper analyses the long-memory properties of high frequency financial time series. It focuses on temporal aggregation and the influence that this might have on the degree of dependence of the series.
Gil-Alana, Luis A. +3 more
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