Results 11 to 20 of about 162 (130)

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source

Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S., Dinesh Kumar S., Patricia J. Y. Wong   +2 more
wiley   +1 more source

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source

Computational Framework for Numerical Simulation of Fractional‐Order Financial Crime Model via Lucas Collocation Technique

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady, Homan Emadifar, Mehdi Hariri, Atallah El-Shenawy, Chong Lin   +4 more
wiley   +1 more source

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

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Analysis of Spectral Tau Method for Approximate Solution of Fourth‐Order BVP in Hilbert Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research explores the effectiveness of the spectral Tau method for solving fourth‐order differential boundary value problem (FBVP). We transform this FBVP into a Volterra–Fredholm integral equation (VFIE). By applying Banach’s fixed‐point theorem, we investigate the existence and uniqueness of the solution for the VFIE form of the FBVP equation ...
Javad Shokri, Smritijit Sen
wiley   +1 more source

Effective approximation method for solving linear Fredholm-Volterra integral equations

Numerical Algebra, Control & Optimization, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eshkuvatov, Z. K., Kammuji, M., Taib, Bachok M., Nik Long, N. M. A.   +3 more
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Optimal Liquidation With Signals: The General Propagator Case

Mathematical Finance, Volume 35, Issue 4, Page 841-866, October 2025.
ABSTRACT We consider a class of optimal liquidation problems where the agent's transactions create transient price impact driven by a Volterra‐type propagator along with temporary price impact. We formulate these problems as maximization of a revenue‐risk functionals, where the agent also exploits available information on a progressively measurable ...
Eduardo Abi Jaber, Eyal Neuman
wiley   +1 more source