Results 51 to 60 of about 2,217,193 (194)
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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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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Alexandria Engineering Journal, 2016 In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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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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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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SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY LINEAR SPLINE FUNCTION
, 2022 This study determines the numerical solution of linear mixed Volterra-Fredholm integral equations of the second kind using the linear spline function.
KARWAN H.F.JWAMER +2 more
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A Study of Some Iterative Methods for Solving Fuzzy Volterra-Fredholm Integral Equations [PDF]
, 2018 This paper mainly focuses on the recent advances in the some approximated methods for solving fuzzy Volterra-Fredholm integral equations, namely, Adomian decomposition method, variational iteration method and homotopy analysis method.
Azeez, Ali Dhurgham +2 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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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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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 +4 more
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