Results 31 to 40 of about 15,655 (167)
Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
Abstract and Applied Analysis, 2013 The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations.
Ahmet Bekir +2 more
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Multisummable Solutions of Nonlinear Ordinary Differential Equations
Journal of Differential Equations, 1996 One of the main theorems is given below: A formal power series solution \[ \widehat y(x)= \sum^\infty_{k= n_0} y_k x^{- k/p},\quad p\in \mathbb{N},\quad n_0\in \mathbb{Z}, \] of a nonlinear ordinary differential equation \(x^{1- r} y'(x)= f(x, y)\), \(x\in \mathbb{C}\), \(y\in \mathbb{C}^n\), \(r\in \mathbb{Z}^+\), is multisummable in any nonsingular ...
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On nth-order nonlinear ordinary random differential equations [PDF]
Nonlinear Oscillations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Heat Transfer Analysis for Stationary Boundary Layer Slip Flow of a Power-Law Fluid in a Darcy Porous Medium with Plate Suction/Injection. [PDF]
PLoS ONE, 2015 In this paper, we investigate the slip effects on the boundary layer flow and heat transfer characteristics of a power-law fluid past a porous flat plate embedded in the Darcy type porous medium.
Asim Aziz +3 more
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An ordinary integro-differential equation with a degenerate kernel and an integral condition
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
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Advances in Mathematical Physics, 2014 The separation transformation method is extended to the n+1-dimensional Klein-Gordon-Zakharov equation describing the interaction of the Langmuir wave and the ion acoustic wave in plasma. We first reduce the n+1-dimensional Klein-Gordon-Zakharov equation
Jing Chen, Ling Liu, Li Liu
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Power Series Solution for Solving Nonlinear Burgers-Type Equations
Abstract and Applied Analysis, 2015 Power series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations.
E. López-Sandoval +3 more
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An oscillation theorem for a second order nonlinear differential equations with variable potential
Electronic Journal of Differential Equations, 2009 We obtain a new oscillation theorem for the nonlinear second-order differential equation $$ (a(t)x'(t))' + p(t)f(t, x(t), x'(t))+ q(t)g(x(t))=0,quad tin [0,infty), $$ via the generalization of Leighton's variational theorem.
Jagmohan Tyagi
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Koopman Spectral Linearization vs. Carleman Linearization: A Computational Comparison Study
MathematicsNonlinearity presents a significant challenge in developing quantum algorithms involving differential equations, prompting the exploration of various linearization techniques, including the well-known Carleman Linearization.
Dongwei Shi, Xiu Yang
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Abstract and Applied Analysis, 2013 Since the collocation method approximates ordinary differential equations, partial differential equations, and integral equations in physical space, it is very easy to implement and adapt to various problems, including variable coefficient and nonlinear ...
A. H. Bhrawy +2 more
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