Results 51 to 60 of about 316,882 (148)
Fractal and Fractional, 2022 This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
doaj +1 more source
Abstract and Applied Analysis, 2010 A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC-α-mild solution of second-
Y. Peng
doaj +1 more source
Neumann Homogenization via Integro-Differential Operators, Part 2: singular gradient dependence
, 2018 We continue the program initiated in a previous work, of applying integro-differential methods to Neumann Homogenization problems. We target the case of linear periodic equations with a singular drift, which includes (with some regularity assumptions ...
Guillen, Nestor, Schwab, Russell W.
core +1 more source
Memoir on Integration of Ordinary Differential [1.2ex] Equations by Quadrature [PDF]
arXiv, 2011 The Riccati equations reducible to first-order linear equations by an appropriate change the dependent variable are singled out. All these equations are integrable by quadrature. A wide class of linear ordinary differential equations reducible to algebraic equations is found. It depends on two arbitrary functions.
arxiv
Some solution of the fractional iterative integro-differential equations [PDF]
, 2018 In this article, we focus to some classes of fractional iterative integro-differential equations. Firstly, we interested of the fractional iterative integro-differential equations including derivatives and establish the existence and uniqueness solutions
Damag, F. H. M., Kilicman, Adem
core
Transformations between nonlocal and local integrable equations [PDF]
arXiv, 2017 Recently, a number of nonlocal integrable equations, such as the PT-symmetric nonlinear Schrodinger (NLS) equation and PT-symmetric Davey-Stewartson equations, were proposed and studied. Here we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
arxiv
http://ijmex.com/index.php/ijmex/article/view/96
Journal of Mathematical Extension, 2012 In this work, the modified Laplace Adomian decomposition method (LADM) is applied to solve the integro-differential equations. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are ...
J. Manafianheris
doaj
Linear differential equations to solve nonlinear mechanical problems: A novel approach [PDF]
arXiv, 2004 Often a non-linear mechanical problem is formulated as a non-linear differential equation. A new method is introduced to find out new solutions of non-linear differential equations if one of the solutions of a given non-linear differential equation is known. Using the known solution of the non-linear differential equation, linear differential equations
arxiv
Integrable discretizations for a generalized sine-Gordon equation and the reductions to the sine-Gordon equation and the short pulse equation [PDF]
arXiv, 2023 In this paper, we propose fully discrete analogues of a generalized sine-Gordon (gsG) equation $u_{t x}=\left(1+\nu \partial_x^2\right) \sin u$. The bilinear equations of the discrete KP hierarchy and the proper definition of discrete hodograph transformations are the keys to the construction.
arxiv
Transformation of the linear difference equation into a system of the first order difference equations [PDF]
arXiv, 2018 The transformation of the Nth- order linear difference equation into a system of the first order difference equations is presented. The proposed transformation gives possibility to get new forms of the N-dimensional system of the first order equations that can be useful for analysis of the solutions of the Nth- order difference equations. In particular,
arxiv