Results 61 to 70 of about 3,901 (233)
A New Representation for Volterra Factors and the Fredholm Resolvent [PDF]
, 1975 Generalizations of the Chandrasekhar-Ambartsumian X-Y functions of radiative transfer are used to give a new representation of the Bellman-Krein formula for the Fredholm resolvent, as well as to represent the Volterra factors of the Gohberg-Krein ...
Casti, J.L.
core
, 2016 Given a two-dimensional correlated diffusion process, we determine the joint density of the first passage times of the process to some constant boundaries.
Sacerdote, Laura +2 more
core +2 more sources
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 +5 more
wiley +1 more source
On The Solution of Existence of Nonlinear Integral-and Integrodifferential Equations [PDF]
مجلة التربية والعلم, 2018 In this paper we study the existence and uniqueness for mixed Volterra – Fredholm integral and integrodifferential equations By using the extensions of Banach's contraction principle in complete cone metric ...
Noora L. Husein
doaj +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
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 +3 more
wiley +1 more source
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 +1 more
doaj +1 more source
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 +3 more
wiley +1 more source
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 +2 more
openaire +2 more sources