Results 11 to 20 of about 12,150,207 (310)
Advances in Mathematical Physics, 2023 This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of ...
Benedict Barnes +4 more
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Existence and convergence of Puiseux series solutions for autonomous first order differential equations [PDF]
Journal of symbolic computation, 2019 Given an algebraic first order autonomous ordinary differential equation F(y,y')=0, we prove that every formal Puiseux series solution of F(y,y')=0, expanded around any finite point or at infinity, is convergent.
J. Cano +2 more
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, 2020 In the present paper, we present the exact analytical solution of the time-fractional Schrodinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) based on the residual power series method (RPSM).
Moa’ath N. Oqielat +4 more
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Fractal and Fractional, 2023 In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq +4 more
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Residual power series algorithm for fractional cancer tumor models
Alexandria Engineering Journal, 2020 In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar +3 more
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ARA-residual power series method for solving partial fractional differential equations
Alexandria Engineering Journal, 2023 In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method.
Aliaa Burqan +3 more
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Exact Solutions for the KMM System in (2+1)-Dimensions and Its Fractional Form with Beta-Derivative
Fractal and Fractional, 2022 Fractional calculus is useful in studying physical phenomena with memory effects. In this paper, the fractional KMM (FKMM) system with beta-derivative in (2+1)-dimensions was studied for the first time.
Lihua Zhang +4 more
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New exact series solutions for transverse vibration of rotationally-restrained orthotropic plates
Applied Mathematical Modelling, 2019 The exact series solutions of plates with general boundary conditions have been derived by using various methods such as Fourier series expansion, improved Fourier series method, improved superposition method and finite integral transform method ...
Sigong Zhang, Lei Xu, Rui Li
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On comparison of approximate solutions for linear and nonlinear schrodinger equations
Acta Scientiarum: Technology, 2019 In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions.
Zeliha Korpinar
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Review of ML and AutoML Solutions to Forecast Time-Series Data
Archives of Computational Methods in Engineering, 2022 Time-series forecasting is a significant discipline of data modeling where past observations of the same variable are analyzed to predict the future values of the time series.
Ahmad Alsharef +4 more
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