<p style='text-indent:20px;'>In this paper, we investigate a source identification problem for class of abstract nonlocal differential equations in separable Hilbert spaces. The existence mild solutions and strong the identifying parameter are obtained. Furthermore, study continuous dependence on data regularity equations. Examples given anomalous diffusion illustrate results.</p>

The existence of solutions for quasilinear parabolic equation with boundary conditions and initial conditions can be discussed by maximal regularity, and more and more works on this field show that the maximal regularity method is efficient. Here we will use some of recently results developed by H. Amann to investigate a specific boundary value problems and then apply the existence theorem to t...

in this paper, a numerical solution procedure is presented for the forced vibration of a piezoelectric nanowire under thermo-electro-mechanical loads based on the nonlocal elasticity theory within the framework of timoshenko beam theory. using hamilton’s principle, the nonlocal governing differential equations are derived. the governing equations and the related boundary conditions are discreti...