In this paper we propose a relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations (FDEs). We present some results concerning to the uniqueness of solution of nonlinear multi-order FDEs and discuss the existence of solution for nonlinear multi-order FDEs in reproducing kernel Hilbert space (RKHS). We further give an error a...

We establish qualitative results of Phragmèn-Lindelöf type for upper semicontinuous viscosity solutions of fully nonlinear partial differential inequalities of the second order in general unbounded domains of IR.

This work investigates the dynamics of modulated waves in a coupled nonlinear LC transmission line. By means of a method based on the semi-discrete limit and in suitably scaled coordinates, we derive the two-dimensional NLS equation governing the propagation of slowly modulated waves in the network. The exact transverse solution is found and the analytical criteria of stability of this solution...

Original scientific paper In a submerged arc welding process, the concept of temperature distribution is essential in order to control the HAZ (heat-affected zone) dimensions and get the required bead size and quality. In this paper, an analytical solution for moving heat source with Gaussian distribution of inside volume of central conicoidal shape is derived. Heat transfer in welded plates du...

A solution for the elastoplastic deflection of cantilever beams with linearly variable circular cross-section loaded by shear force at free end, which is suitable practical use, has not yet been developed. semi-analytical such a problem proposed in this paper. The involves made homogenous and isotropic materials bilinear strain hardening behavior. Bernoulli–Euler formula used determining elasti...

Abstract Seven-degree-of-freedom redundant manipulators with link offset have many advantages, including obvious geometric significance and suitability for configuration control. Their is similar to that of the experimental module manipulator (EMM) in Chinese Space Station Remote Manipulator System. However, finding analytical solution an EMM on basis arm angle parameterization difficult. This ...