Results 31 to 40 of about 9,447,597 (313)
Proceedings of the American Mathematical Society, 1961 Here [x ] is the integer part of x. We write x = [x] + { x }, where x} is the fractional part of x. He has been good enough to let me see his manuscript and I am much obliged to him for this. His proof is very simple and really of an arithmetical nature.
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Exact Solutions of Some Fractional Power Series
, 2023 : 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.
Chii-Huei Yu
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Mathematics, 2021 In this paper, we deal with some applications of the network simulation method (NMS) to the non-linear differential equations derived of a parametric family associated to stated problems by Newton in and others like the parabolic mirror and van der Pol ...
Joaquín Solano +2 more
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Power Series Method For Solving Nonlinear Volterra Integro-Differential Equations of The Second Kind [PDF]
Engineering and Technology Journal, 2010 In this work, we present the power series method for solving special typesof the first order nonlinear Volterra integro-differential equations of the second kind.
Hanan Mahmood Hasson
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Constructive Approximation, 2008 Let \(\alpha\in\mathbb{N}_{0}^{d}\) and let \(w_{\alpha}\) be a positive real number such that \(\sum_{\alpha\in\mathbb{N}_{0}^{d}}\) \(\frac{w_{\alpha}}{(\alpha!)^{2}}\) \(
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Applied Mathematics in Science and Engineering, 2022 A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
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MANAS: Journal of EngineeringIn this paper, we apply Laplace-Padé Series method to solve linear and non-linear differentialalgebraicequations (DAEs). Firstly, The basic properties of the Laplace-Padé Series method aregiven.
Nooriza Myrzabekova, Ercan Celık
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Squinting at power series [PDF]
Software: Practice and Experience, 1990 AbstractData streams are an ideal vehicle for handling power series. Stream implementations can be read off directly from simple recursive equations that define operations such as multiplication, substitution, exponentiation and reversion of series.
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Mathematics, 2022 The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of ...
Alexander N. Pchelintsev
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Fractal and Fractional, 2022 We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta +5 more
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