Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]
arXiv, 2020 Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv
Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations
Mathematics, 2023 Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
doaj +1 more source
Differential Equations: A Historical Refresher [PDF]
arXiv, 2020 This paper presents a brief account of the important milestones in the historical development of the theory of differential equations. The paper begins with a discussion on the date of birth of differential equations and then touches upon Newton's approach to differential equations.
arxiv
A singular functional-differential equation
International Journal of Mathematics and Mathematical Sciences, 1982 The representation of the Hardy-Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional-differential equation which yields, as a corollary, the well known theory of Frobenius for second order ...
P. D. Siafarikas
doaj +1 more source
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
A Recipe for State Dependent Distributed Delay Differential Equations
, 2018 We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler +2 more
core +1 more source
The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation
Discrete Dynamics in Nature and Society, 2011 Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential ...
Muhammed Yiğider +2 more
doaj +1 more source
Oscillation criteria for fractional impulsive hybrid partial differential equations
Проблемы анализа, 2019 In this paper, we study the oscillatory behavior of the solutions of fractional-order nonlinear impulsive hybrid partial differential equations with the mixed boundary condition.
Sadhasivam V., Deepa M.
doaj +1 more source
Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative [PDF]
arXiv, 2015 The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation.
arxiv
Finite element analysis for a coupled bulk-surface partial differential equation
, 2013 In this paper, we define a new finite element method for numerically approximating the solution of a partial differential equation in a bulk region coupled with a surface partial differential equation posed on the boundary of the bulk domain.
C. M. Elliott, T. Ranner
semanticscholar +1 more source