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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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