Results 51 to 60 of about 2,313,393 (156)
Open MathematicsIn this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A. +2 more
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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
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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Algorithms, 2022 In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
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A Novel Numerical Scheme and Analysis of a Nonlinear Nonlocal Equation Modeling Neurodynamics
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Integral operators have been widely employed in biological, medical, and physical models. In this work, we investigate a nonlinear integrodifferential equation involving a convolutional nonlinearity, which represents an important class of models for describing neurodynamical processes.
Samima Akhter +2 more
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An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif +3 more
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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
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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. +2 more
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Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag +5 more
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