Results 11 to 20 of about 88,452 (260)
Puiseux series solutions of ODEs
In this article, we will determine Puiseux series solutions of ordinary polynomial differential equations. We also study the binary complexity of computing such solutions.
Ali Ayad +3 more
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Differentiable Solutions of Equations Involving Iterated Functional Series [PDF]
The nonmonotonic differentiable solutions of equations involving iterated functional series are investigated. Conditions for the existence, uniqueness, and stability of such solutions are given.
Wei Song
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Solitary Wave-Series Solutions to Non-Linear Schrodinger Equations
: In this paper, higher-order dispersive non-linear Schrodinger equations are studied. Their solitary wave-series solutions with continuity of the derivatives and specific discontinuity of the derivatives at the crest are presented.
Muhammad Azram, H. Zaman
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Exact Solutions of Some Fractional Power Series
: 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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Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Difficulties in the interpretation of kinematics graphs in secondary basic education students
This research reports the findings derived from the identification of the difficulties exhibited by a group of 76 students from different grades of basic secondary education in a private educational institution with an emphasis on science education ...
Gamboa Suárez, Audin Aloiso +3 more
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ARA-residual power series method for solving partial fractional differential equations
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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Series Solution of a Functional Equation [PDF]
In this we will study analytic solutions to the linear functional equationwherefandhare given functions, x is a given complex number and the function g is to be found. This is a generalization of Schröder's functional equation. The results obtained are global in nature and the solutions holomorphic.
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The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order.
Omar Abu Arqub +3 more
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On series solutions of Volterra equations [PDF]
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