Results 11 to 20 of about 2,590 (180)

Analysis of stability for stochastic delay integro-differential equations [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj   +2 more sources

denim: An R package for deterministic compartmental models with flexible dwell‐time distributions

Methods in Ecology and Evolution, EarlyView.
Abstract Compartmental models are widely used for dynamical systems where states are discrete, such as in infectious disease epidemiology with the so‐called Susceptible‐Infectious‐Recovered (SIR) framework. For mathematical simplicity, rates of transition between compartments are generally assumed to be independent of the dwell time (or secondary ...
Thinh Phuc Ong, Anh Truong Quynh Phan, Lam Minh Ha, Marc Choisy   +3 more
wiley   +2 more sources

Neural Integro-Differential Equations

Proceedings of the AAAI Conference on Artificial Intelligence, 2023
Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are modeled with Integro-Differential Equations (IDEs); generalizations of differential equations that comprise both an
Zappala, Emanuele, Fonseca, Antonio Henrique de Oliveira, Moberly, Andrew Henry, Higley, Michael James, Abdallah, Chadi, Cardin, Jessica, van Dijk, David   +6 more
openaire   +2 more sources

Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G

Advances in Mathematical Physics, 2022
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
doaj   +1 more source

Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations

Computation, 2021
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta, Sekson Sirisubtawee, Surattana Sungnul   +2 more
doaj   +1 more source

Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations

Tikrit Journal of Pure Science, 2021
The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to ...
Mohammed Khalid Shahoodh
doaj   +1 more source

On Solvability of Integro-Differential Equations [PDF]

Potential Analysis, 2020
AbstractA class of (possibly) degenerate integro-differential equations of parabolic type is considered, which includes the Kolmogorov equations for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces and in Sobolev-Slobodeckij spaces.
Marta De León-Contreras, István Gyöngy, Sizhou Wu   +2 more
openaire   +3 more sources

Ulam Stability of n-th Order Delay Integro-Differential Equations

Mathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +1 more source

On a method for investigation of random oscillations of the linear visco-elastic system

Vietnam Journal of Mechanics, 1979
The paper deals with the method for investigation of the random excited integro-differential equations, appeared frequently in the theory of the visco-elastic system.
Nguyen Tien Khiem, Nguyen Dong Anh
doaj   +1 more source

Newton's Method for Solving Hilfer Fractional Volterra-Fredholm Integro Differential Equations [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we apply Newton's method to solve a class of integro-differential equations of the Volterra-Fredholm type with nonlocal characteristics, involving almost sectorial operators and Hilfer fractional derivatives.
karim Ivaz, Ismael Alas‎sadi
doaj   +1 more source