Results 11 to 20 of about 930 (158)
Generalized Weierstrass Integrability of the Abel Differential Equations
Mediterranean Journal of Mathematics, 2013 We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
Llibre, Jaume, Valls, Clàudia
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Solutions to Abel’s Integral Equations in Distributions
Axioms, 2018 The goal of this paper is to study fractional calculus of distributions, the generalized Abel’s integral equations, as well as fractional differential equations in the distributional space D ′ ( R + ) based on inverse ...
Chenkuan Li +2 more
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Partial Differential Equations in Applied Mathematics, 2020 A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
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Numerical simulation of tasks of vertical viscoelastic oscillation of suspension systems of frame, engine, cabin and seat [PDF]
E3S Web of Conferences, 2023 The analysis of the structures of the springing systems of modern vehicles showed that polymer composites are used in vehicles for which the decrease in curb weight is a critical indicator.
Rakhmankulova Barna +2 more
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A Geometric Approach to Integrability of Abel Differential Equations [PDF]
International Journal of Theoretical Physics, 2010 A geometric approach is used to study the Abel first order differential equation of the first kind. The approach is based on the recently developed theory of quasi-Lie systems which allows us to characterise some particular examples of integrable Abel equations.
Cariñena, José F. +2 more
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A complete and partial integrability technique of the Lorenz system
Results in Physics, 2018 In this paper we deal with the well-known nonlinear Lorenz system that describes the deterministic chaos phenomenon. We consider an interesting problem with time-varying phenomena in quantum optics. Then we establish from the motion equations the passage
Lazhar Bougoffa +2 more
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Advances in Difference Equations, 2021 Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowed with a Caputo–Fabrizio fractional ...
Mohammed Al-Smadi +4 more
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Isotropic Perfect Fluids in Modified Gravity
Universe, 2023 We generate the Einstein–Gauss–Bonnet field equations in higher dimensions for a spherically symmetric static spacetime. The matter distribution is a neutral fluid with isotropic pressure.
Shavani Naicker +2 more
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Algebro-Geometric Solutions of the Coupled Chaffee-Infante Reaction Diffusion Hierarchy
Advances in Mathematical Physics, 2021 The coupled Chaffee-Infante reaction diffusion (CCIRD) hierarchy associated with a 3×3 matrix spectral problem is derived by using two sets of the Lenard recursion gradients.
Chao Yue, Tiecheng Xia
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Two special functions, concerning Mittag-Leffler type functions, are studied. The first is the modification of generalized Mittag–Leffler function, which was introduced by A. A. Kilbas and M. Saigo; the second is the special case of the first one.
E. N. Ogorodnikov
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