Results 21 to 30 of about 1,010 (188)

Generalized symmetries, first integrals, and exact solutions of chains of differential equations [PDF]

Open Communications in Nonlinear Mathematical Physics, 2021
New integrability properties of a family of sequences of ordinary differential equations, which contains the Riccati and Abel chains as the most simple sequences, are studied.
C. Muriel, M. C. Nucci
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Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory

Mathematics, 2023
The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh, Arpita Gupta, Devendra Kumar   +2 more
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A Simple Approach for the Fractal Riccati Differential Equation [PDF]

Journal of Applied and Computational Mechanics, 2021
In this paper, a fractal modification of the Riccati differential equation is presented, and the two-scale transform method combined with Taylor series is used to solve the equation.
Kang-Jia Wang
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Riccati differential equations with elliptic coefficients. II

Tohoku Mathematical Journal, 2000
In this paper, the authors consider the Riccati differential equation \[ w'+w^2+a\wp(z)=0, \] where \(\wp(z)\) is the Weierstrass \(\wp\)-function satisfying \[ (\wp')^2 = 4\wp^3 - b, b \neq 0 \] and \[ a = (1 - m^2)/4, m \geq 2, m \neq 6n. \] They show under these conditions that all solutions to the Riccati differential equation are meromorphic and ...
Ishizaki, Katsuya, Laine, Ilpo, Shimomura, Shun, Tohge, Kazuya   +3 more
openaire   +2 more sources

Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

Advances in Difference Equations, 2017
We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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Generalized System of Riccati-Type Equations

EPJ Web of Conferences, 2018
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

Journal of Mathematics, 2020
The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
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Solusi Persamaan Diferensial Fraksional Riccati Menggunakan Adomian Decomposition Method dan Variational Iteration Method

Matematika, 2019
Abstrak. Pada umumnya orde dari persamaan diferensial adalah bilangan asli, namun orde pada persamaan diferensial dapat dibentuk menjadi orde pecahan yang disebut persamaan diferensial fraksional.
Muhamad Deni Johansyah, Herlina Napitupulu, Erwin Harahap, Ira Sumiati, Asep K. Supriatna   +4 more
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Solving of some nonlinear ordinary differential equations in the form of power series

Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022
In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva, I.K. Kirichenko, N.N. Chekanova   +2 more
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A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Advances in Mathematical Physics, 2013
A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations.
Bülent Kiliç, Hasan Bulut
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