Results 91 to 100 of about 316,882 (148)

Regularized solutions for some backward nonlinear parabolic equations with statistical data [PDF]

arXiv, 2017
In this paper, we study the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under random noise. This problem is ill-posed, i.e., the solution does not depend continuously on the data.
arxiv  

Algebraic Approaches to Partial Differential Equations [PDF]

arXiv, 2012
Partial differential equations are fundamental tools in mathematics,sciences and engineering. This book is mainly an exposition of the various algebraic techniques of solving partial differential equations for exact solutions developed by the author in recent years, with emphasis on physical equations such as: the Calogero-Sutherland model of quantum ...
arxiv  

On the existence and uniqueness of solution of the Cauchy problem for linear integro-differential equations with operator coefficients [PDF]

, 1971
Ivan Hlaváček
openalex   +1 more source

Solutions to systems of partial differential equations with weighted self-reference and heredity

Electronic Journal of Differential Equations, 2012
This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential ...
Pham Ky Anh, Nguyen Thi Thanh Lan, Nguyen Minh Tuan   +2 more
doaj  

Numerical studies for solving fractional integro-differential equations

Journal of Ocean Engineering and Science, 2018
In this paper, we give a new numerical method for solving a linear system of fractional integro-differential equations. The fractional derivative is considered in the Caputo sense.
A.M.S. Mahdy
doaj  

UniFIDES: Universal fractional integro-differential equations solver

APL Machine Learning
The development of data-driven approaches for solving differential equations has led to numerous applications in science and engineering across many disciplines and remains a central focus of active scientific inquiry.
Milad Saadat, Deepak Mangal, Safa Jamali
doaj   +1 more source

On the comparative study integro – Differential equations using difference numerical methods

Journal of King Saud University: Science, 2020
In this paper, we use the Adomian decomposition Sumudu transform method with the Pade approximant (ADST - PA method) to obtain closed form solutions of nonlinear integro-differential equations, and perform a comparative study between the present method ...
Shams A. Ahmed, Tarig M. Elzaki
doaj  

Approximative solution of a system of integro-differential equations by S. A. Tschaplygin's method [PDF]

, 1970
Svatoslav Staněk
openalex   +1 more source

Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators

Electronic Journal of Differential Equations, 2015
In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations.
Zhinan Xia, Dingjiang Wang
doaj  

Hyers–Ulam Stability Analysis of Nonlinear Volterra–Fredholm Integro-Differential Equation with Caputo Derivative

Fractal and Fractional
The main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay, Salah Boulaaras, Sriramulu Sabarinathan   +2 more
doaj   +1 more source