Results 41 to 50 of about 303 (178)

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

A Simple Approach to Volterra-Fredholm Integral Equations

Journal of Applied and Computational Mechanics, 2020
This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational principle for the discussed problem, making the method much attractive for practical applications ...
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

A Symbolic Method for Solving a Class of Convolution-Type Volterra–Fredholm–Hammerstein Integro-Differential Equations under Nonlocal Boundary Conditions

Algorithms, 2023
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas, Ioannis Nestorios Parasidis   +1 more
doaj   +1 more source

SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY QUADRATIC SPLINE FUNCTION

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2022
         Using the quadratic spline function, this paper finds the numerical solution of mixed Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the quadratic spline function of the unknown function at an arbitrary point and using the integration method to turn the Volterra-Fredholm integral equation ...
Sarfraz Hassan Salim, Rostam Karim Saeed, Karwan Hama Faraj Jwamer   +2 more
openaire   +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

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

Journal of Applied Mathematics, 2012
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
doaj   +1 more source

A fast iterative method for discretized Volterra–Fredholm integral equations

Journal of Computational and Applied Mathematics, 2006
The authors develop a method that reduces the cost of solving discretized versions of nonlinear Volterra-Fredholm integral equations of the form \[ u(t, x)=f(t,x)+\int_0^t \int_{\Omega} G(t, s, x, \xi, u(s, \xi))\,d\xi \,ds \] on a bounded spatial domain.
CARDONE, ANGELAMARIA, MESSINA, ELEONORA, RUSSO, ELVIRA   +2 more
openaire   +2 more sources

Solving fuzzy volterra-fredholm integral equation by fuzzy artificial neural network

Mathematical Foundations of Computing, 2021
<p style='text-indent:20px;'>The volterra-fredholm integral equation in all forms are arose from physics, biology and engineering problems which is derived from differential equation modelling. On the other hand, the trained programming algorithm by the fuzzy artificial neural networks has effective solution to find the best answer.
Abtahi, Seiyed Hadi, Rahimi, Hamidreza, Mosleh, Maryam   +2 more
openaire   +3 more sources

On the Robustness of Dirichlet–Neumann Coupling Schemes for Fluid‐Structure‐Interaction Problems With Nearly‐Closed Fluid Domains

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT The partitioned approach for fluid‐structure interaction (FSI) simulations involves solving the structural and flow field problems sequentially. This approach allows separate settings for the fluid and solid subsystems, ensuring modularity and leveraging advanced commercial and open‐source software capabilities to offer increased flexibility ...
A. Aissa‐Berraies, F. A. Auricchio, G. J. van Zwieten, E. H. van Brummelen   +3 more
wiley   +1 more source