Results 11 to 20 of about 33,163 (207)
Journal of Ocean Engineering and Science, 2019 Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah +3 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
core +2 more sources
On Solvability of Integro-Differential Equations [PDF]
Potential Analysis, 2020 AbstractA class of (possibly) degenerate integro-differential equations of parabolic type is considered, which includes the Kolmogorov equations for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces and in Sobolev-Slobodeckij spaces.
Marta De León-Contreras +2 more
openaire +3 more sources
Advances in Difference Equations, 2021 In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj +1 more source
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
core +4 more sources
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
doaj +1 more source
Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
doaj +1 more source