Although the small-scale effect and material nonlinearity significantly impact mechanical properties of nanobeams, their combined effects have not attracted interest researchers. The present paper proposes two new nonlinear nonlocal Euler–Bernoulli theories to model corresponding extensible or inextensible nanobeams. Two consider induced by effect. models are used analyze static bending forced ...

in this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (cnt) system have been investigated. the visco-pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. both of the cnts convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

We apply the original semiclassical approach to kinetic ionization equation with nonlocal cubic nonlinearity in order construct family of its asymptotic solutions. The proposed relies on an auxiliary dynamical system moments desired solution and associated linear partial differential equation. solutions is constructed using symmetry operators acting functions concentrated a neighborhood point d...

We investigate the Cauchy problem for a nonlocal (two-place) FORQ equation. By interpreting this equation as special case of two-component peakon system (exhibiting cubic nonlinearity), we convert into ordinary differential equations in Banach space. Using approach, are able to demonstrate local well-posedness Sobolev space Hs where s>5/2. also establish continuity properties data-to-solution m...

In this work we analyze the behavior of solutions to nonlocal evolution equations form u t ( x , ) = ∫ J − y d h ε + f with in a perturbed domain Ω ⊂ which is thought as fixed set from where remove subset A called holes. We choose appropriated families functions ∈ L ∞ order deal both Neumann and Dirichlet conditions holes setting condition outside Ω. Moreover, take non-singular kernel nonlinear...