Results 1 to 10 of about 559,986 (194)
Fractal and Fractional, 2023 In this study, a fractional nonlinear mixed integro-differential equation (Fr-NMIDE) is presented and has a general discontinuous kernel based on position and time space.
Sharifah E. Alhazmi, Mohamed A. Abdou
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A stable numerical method for Volterra integral equations with discontinuous kernel
Journal of Mathematical Analysis and Applications, 2008 Numerical methods for Volterra integral equations with discontinuous kernel need to be tuned to their peculiar form. Here we propose a version of the trapezoidal direct quadrature method adapted to such a type of equations.
Antonia Vecchio, Eleonora Messina
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On a discussion of Volterra–Fredholm integral equation with discontinuous kernel [PDF]
Journal of the Egyptian Mathematical Society, 2020 The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution.
M. A. Abdou, A. Soliman, M. Abdel-Aty
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Asymptotic Regimes of an Integro-Difference Equation with Discontinuous Kernel [PDF]
Journal of Dynamics and Differential Equations, 2022 This paper is concerned with an integral equation that models discrete time dynamics of a population in a patchy landscape. The patches in the domain are reflected through the discontinuity of the kernel of the integral operator at a finite number of ...
Omar Abdul Halim, Mohammad El Smaily
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Comparison Between the Kernel Functions Used in Estimating the Fuzzy Regression Discontinuous Model
Journal of Techniques, 2023 Some experiments need to know the extent of their usefulness to continue providing them or not. This is done through the fuzzy regression discontinuous model, where the Epanechnikov Kernel and Triangular Kernel were used to estimate the model by ...
Mohammad Jasim Mohammad +1 more
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A Novel Method for Solving Second Kind Volterra Integral Equations with Discontinuous Kernel
Mathematics, 2021 Load leveling problems and energy storage systems can be modeled in the form of Volterra integral equations (VIE) with a discontinuous kernel. The Lagrange–collocation method is applied for solving the problem. Proving a theorem, we discuss the precision
Samad Noeiaghdam, Sanda Micula
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Volterra’s integral equation of the second kind, with discontinuous kernel [PDF]
Transactions of the American Mathematical Society, 1910 In this equation the function K(w, t ) is called the kerllel; the desired function is u(z) . VVhen the functions K(w, {) and +(.z) are continuous there is no diSculty in finding a continuous 6(z) that shall satisfy equation (1). This general case of the equation (1), under the conditions solelythat +(z) be continuouswhen a-z-b and that X(x, t:) be ...
G. Evans
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MathematicsThe paper addresses an inverse problem for a nonlinear Volterra integral equation of the first kind with a piecewise continuous kernel whose discontinuity curves are the unknown functions.
Aleksandr N. Tynda +3 more
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Deep active learning and knowledge transfer for rapid discovery of lithium metal battery electrolytes [PDF]
Nature CommunicationsDesigning electrolyte materials for high-energy lithium metal batteries requires navigating vast, discrete chemical spaces, where intricate interphasial and electrolyte chemistries render component interactions largely unclear.
Xufeng Hong +9 more
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MathematicsIn the present work, a Cauchy (initial) problem for a fractional linear system with distributed delays and Caputo-type derivatives of incommensurate order is considered.
Hristo Kiskinov +3 more
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