Results 11 to 20 of about 320 (74)
New method for generating general solution of Abel differential equation
Computers and Mathematics With Applications, 2002 A new method for generating a general solution of the nonlinear first kind Abel type differential equation from a particular one is presented ...
Mak, M.K. +5 more
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Relativistic dissipative cosmological models and Abel differential equation
Computers and Mathematics With Applications, 2003 We analyze the second-order strongly nonlinear differential equation describing the relativistic evolution of a causal dissipative cosmological fluid in a conformally flat space-time. By means of appropriate transformations, the evolution equation can be
Mak, M.K., Harko, T, Harko, T., Mak, MK
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Abel differential equations admitting a certain first integral
Journal of Mathematical Analysis and Applications, 2010 In this work algebro-geometric conditions to have a certain first integral for an Abel differential equation are given. These conditions establish a bridge with classical Galois theory because we transform the differential problem of finding a first ...
Jaume Giné +3 more
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The short memory principle for solving Abel differential equation of fractional order
Computers and Mathematics With Applications, 2011 In this paper, the short memory principle (SMP) is applied for solving the Abel differential equation with fractional order. We evaluate the approximate solution at the end of required interval, and construct a suitable iteration scheme employing this ...
Xu, Yufeng +3 more
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Solutions generating technique for Abel-type nonlinear ordinary differential equations
Computers and Mathematics With Applications, 2001 A second-order nonlinear differential equation describing the dynamics of a bulk viscous fluid filled general relativistic Friedmann-Robertson-Walker Universe is considered.
Mak, M.K. +5 more
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On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials
Applied Mathematics and Computation, 2011 WOS: 000285286200048This paper presents a new approximate method of Abel differential equation. By using the shifted Chebyshev expansion of the unknown function, Abel differential equation is approximately transformed to a system of nonlinear equations ...
Gulsu, Mustafa +5 more
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Pell polynomial solution of the fractional differential equations in the Caputo-Fabrizio sense
Indian Journal of Pure and Applied MathematicsIn this paper, linear differential equations involving fractional and integer order derivatives are considered. Here fractional derivatives are defined in the Caputo-Fabrizio sense.
Yaslan, H. Cerdik
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Abel Fractional Differential Equations Using Variation Of Parameters Method [PDF]
, 2022 The Variation of Parameters Method (VPM) is utilized throughout the research to identify a numerical model for a nonlinear fractional Abel differential equation (FADE).
Prakash, P., Devi, Nithya
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Centers of planar generalized Abel equations [PDF]
, 2020 We deal with the differential equation ̇r=dr/dθ=a(θ)rn+b(θ)rm, where (r,θ) are the polar coordinates in the plane R2, m and n are integers such that m > n ≥ 2, and a,b are C1 functions.
Valls, Clàudia, Llibre, Jaume
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, 2022 In the current manuscript, we implement the collocation method to obtain an approximate solution of one-dimensional time-fractional convection equation. The operational matrices of Pell polynomials are applied to solve the fractional partial differential
A. S. Mohamed
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