Results 51 to 60 of about 310 (173)
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
Journal of Mathematics, Volume 2026, Issue 1, 2026.To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu +4 more
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Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
REMATNumerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
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A Multiple Iterated Integral Inequality and Applications
Journal of Applied Mathematics, 2014 We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
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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
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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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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
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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 +3 more
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Integral equations for the wave function of particle systems
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019 Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
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Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
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