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Efthimios Providas and Ioannis Nestorios Parasidis
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate me...
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Efthimios Providas
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra?Fredholm equations of the second kind. The method is based on the existence of the inverse of the relevan...
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Efthimios Providas
Recent developments have shown that the widely used simplified differential model of Eringen?s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two-pha...
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Efthimios Providas and Ioannis Nestorios Parasidis
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions. We use the th...
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Efthimios Providas
This article is concerned with the construction of approximate analytic solutions to linear Fredholm integral equations of the second kind with general continuous kernels. A unified treatment of some classes of analytical and numerical classical methods,...
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