Nonlocal Integro-Differential Equations of the Second Order with Degeneration [PDF]
, 2020 We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable. The possibility of degeneration in the equations under consideration means that the statements
Aleksandr I. Kozhanov
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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Computation, 2021 The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta +2 more
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The Bernstein Technique for Integro-Differential Equations [PDF]
Archive for Rational Mechanics and Analysis, 2022 We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, including some convex fully nonlinear equations of order smaller than two -- for which we prove uniform estimates as their order approaches two.
Cabré Vilagut, Xavier +2 more
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE, S. E. Mikhailov
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Inverse Problems for Degenerate Fractional Integro-Differential Equations [PDF]
, 2020 This paper deals with inverse problems related to degenerate fractional integro-differential equations in Banach spaces. We study existence, uniqueness and regularity of solutions to the problem, claiming to extend well known studies for the case of non ...
Hiroki Tanabe +3 more
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Integrating Bernstein and Improved Block-Pulse Functions for Solving Linear Fredholm Integro-Differential Equations [PDF]
Egyptian Journal of Pure and Applied ScienceMathematical modeling of real-life problems usually results in some form of functional equations, e.g. algebraic equations, differential equations, integral equations and others.
Mohamed Ramadan, Heba Osheba
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Stability of an integro-differential equation
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuhua Jin, Jiaowan Luo
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Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion [PDF]
, 2021 We establish the existence in the sense of sequences of solutions for certain integro-differential type equations in two dimensions involving the normal diffusion in one direction and the anomalous diffusion in the other direction in H-2(R-2) via the ...
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On a method for investigation of random oscillations of the linear visco-elastic system
Vietnam Journal of Mechanics, 1979 The paper deals with the method for investigation of the random excited integro-differential equations, appeared frequently in the theory of the visco-elastic system.
Nguyen Tien Khiem, Nguyen Dong Anh
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