Fox H-Functions in Self-Consistent Description of a Free-Electron Laser
Fractal and Fractional, 2021 A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL).
Alexander Iomin
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Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited [PDF]
, 2008 The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity.
Alvarez +19 more
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2011 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
M. A. AL-Jawary +7 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
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Journal of Taibah University for Science, 2020 This paper points out several exact travelling wave solutions for -dimensional Ito integro-differential equation via the Riccati–Bernoulli sub-ODE approach.
A. Alharbi, M. Almatrafi
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Stability of an integro-differential equation
Computers & Mathematics with Applications, 2009 AbstractIn this work we study a scalar integro-differential equation and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed-point theory. Our work extends and improves the results in the literature.
Chuhua Jin, Jiaowan Luo
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Nonequilibrium corrections to energy spectra of massive particles in expanding universe [PDF]
, 1996 Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial differential ...
A.D. Dolgov +14 more
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The implicit numerical method for the one-dimensional anomalous subdiffusion equation with a nonlinear source term [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In the paper, the numerical method of solving the one-dimensional subdiffusion equation with the source term is presented. In the approach used, the key role is played by transforming of the partial differential equation into an equivalent integro ...
Marek Błasik
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An ordinary integro-differential equation with a degenerate kernel and an integral condition
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
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Regularity theory for fully nonlinear integro-differential equations [PDF]
, 2008 We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
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