Results 91 to 100 of about 11,797 (246)

Volterra Equations Driven by Semimartingales

The Annals of Probability, 1985
In modelling systems corrupted by noise, stochastic integral equations of Volterra type arise. \textit{M. A. Berger} and \textit{V. J. Mizel} [J. Integral Equations 2, 187-245 and 319-337 (1980; Zbl 0442.60064 and Zbl 0452.60073, resp.)] handled the white noise case and conjectured that their results could be extended to the case when Brownian motion ...
openaire   +3 more sources

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

Stability, Bifurcation, and Chaos Control in a Discrete‐Time Predator–Prey Model With Gompertz Growth and Ivlev Functional Response Under Proportional Harvesting

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complex dynamics of a discrete‐time predator–prey system incorporating proportionate prey harvesting. The model is derived from a continuous system using the forward Euler discretization method and extends a previously studied model by introducing a harvesting term. First, the positivity of solutions is established to ensure
Saad Jamhan Aldosari, Rizwan Ahmed, Waseem Abbas Shah, Asma Khalid, Fulgensia Kamugisha Mbabazi, Mengxin Chen   +5 more
wiley   +1 more source

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

Journal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh, Mohammad Heydari, Wen Chen, G. B. Loghmani   +3 more
doaj   +1 more source

Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi, Mamoon Ahmed, Yousef AbuHour, Chang Phang   +3 more
wiley   +1 more source

Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution

Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.
This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw, Ayele Taye Goshu, Tsegaye Simon Lachamo, Marek T. Malinowski   +3 more
wiley   +1 more source

An operational approach for one- and two-dimension high-order multi-pantograph Volterra integro-differential equation

AIMS Mathematics
High-order Volterra integro-differential equations are of great interest to many authors because of their important applications in physics and engineering, especially if they contain delay or pantograph terms that enable them to describe the memory ...
Ali H. Tedjani, Sharifah E. Alhazmi, Samer S. Ezz-Eldien   +2 more
doaj   +1 more source

Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method

, 2020
Mohammad Alshammari, Mohammed Al‐Smadi, Ishak Hashim, Mohd Almie Alias   +3 more
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Ergodicity for Stochastic Neutral Retarded Partial Differential Equations Driven by $\alpha$-regular Volterra process [PDF]

, 2021
Xia Pan, Zhi Li
openalex  

ON A SINGULAR VOLTERRA EQUATION

Demonstratio Mathematica, 1993
The equation \[ f(p) = 2 \int^ \infty_ p {F(r) \over \bigl( 1 - (p/r)^ 2 \bigr)^{1/2}} dr, \quad r \in (0, \infty) \] where \(f \in C^ 1 [0,\infty)\) is a given function such that \(\lim_{p \to \infty}\) \(pf(p)\) does exist, is important in the investigation of electromagnetic cascades.
openaire   +2 more sources