Results 81 to 90 of about 3,838,910 (187)

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

open access: yesOpen Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela   +2 more
doaj   +1 more source

Boundary value problem with shift for one partial differential equation containing partial fractional derivative

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We investigate a nonlocal boundary value problem for the equation of special type. For $y > 0$ it is the equation of fractional diffusion, which contains partial fractional derivative of Riemann-Liouville.
Oleg A Repin
doaj   +1 more source

Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator

open access: yesСовременная математика: Фундаментальные направления
In this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
doaj   +1 more source

A “MAXIMUM PRINCIPLE FOR SEMICONTINUOUS FUNCTIONS” APPLICABLE TO INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

open access: yes, 2003
We formulate and prove a non-local ``maximum principle for semicontinuous functions'' in the setting of fully nonlinear degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain comparison/uniqueness results for integro-partial ...
Jakobsen, Espen R., Karlsen, Kenneth H.
openaire   +1 more source

Integro-partial differential equation models for cell-cell adhesion and its application

open access: yes, 2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations).
openaire   +1 more source

Stochastic partial differential and integro-differential equations [PDF]

open access: yes, 2015
In this work we present some new results concerning stochastic partial differential and integro-differential equations (SPDEs and SPIDEs) that appear in non-linear filtering.
Dareiotis, Anastasios Constantinos
core  

Bridging Theory and Computation: The Double ZZ Transform for Nonlinear Integro-Partial Differential Equations

open access: yesNonlinear Analysis and Computer Simulations
This research investigates the theoretical foundations and computational implementation of the Double ZZ Transform (DZZT) for solving nonlinear integro-partial differential equations. By establishing the transform's existence theorem and core properties, this study provides a systematic approach to handling non-homogeneous models.
Djelloul Ziane   +3 more
openaire   +1 more source

Exponential Stability of Two Coupled Second-Order Evolution Equations

open access: yesAdvances in Difference Equations, 2011
By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations (one is an integro-differential equation) decays exponentially if the convolution kernel decays exponentially. An example is give to
Wan Qian, Xiao Ti-Jun
doaj  

Exploring New Traveling Wave Solutions to the Nonlinear Integro-Partial Differential Equations with Stability and Modulation Instability in Industrial Engineering

open access: yesComputation
In this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonlinear ...
J. R. M. Borhan   +5 more
doaj   +1 more source

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