Results 61 to 70 of about 2,313,393 (156)
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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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
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
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The fuzzy Fredholm integral equation is a fundamental equation that describes a wide range of phenomena in physics, chemistry, and fluid dynamics. Fuzzy neutrosophic numbers offer an effective way to handle the uncertainty in fuzzy Fredholm integral equations, helping identify the most suitable variables and factors for solving them. Therefore, in this
Hamzeh Zureigat +2 more
wiley +1 more source
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 +4 more
wiley +1 more source
Solvability of integral equations through fixed point theorems: a survey [PDF]
Surveys in Mathematics and its Applications, 2022 This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
doaj
On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
Discrete Dynamics in Nature and Society, 2018 We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this sequel, we employ an approach that combines the modified version of the Lagrange polynomial approximation technique with the biconjugate gradient stabilized method (BiCGSTAB) to analyze numerical solutions of fractional Volterra integral equations (FVIEs).
Imtiyaz Ahmad Bhat +3 more
wiley +1 more source
Existence of solutions for mixed volterra-fredholm integral equations
, 2012 In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L 1[0, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional ...
Sadarangani, Kishin +2 more
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