Neural networks with radial basis functions method are used to solve a class of initial boundary value of fractional partial differential equations with variable coefficients on a finite domain. It takes the case where a left-handed or right-handed fractional spatial derivative may be present in the partial differential equations. Convergence of this method will be discussed in the paper. A num...

Complete second-order hyperbolic differential equations with constant domains of operator coefficients were investigated in [1, 2]. In the case of variable domains of operator coefficients, second-order hyperbolic differential equations with a two-term leading part were analyzed in [3-5]. In the present paper, we investigate second-order hyperbolic differential equations with a three-term leadi...

In the presented paper, the governing equations of a vibratory beam with moderately large deflection are derived using the first order shear deformation theory. The beam is homogenous, isotropic and it is subjected to the dynamic transverse and axial loads. The kinematic of the problem is according to the Von-Karman strain-displacement relations and the Hook's law is used as the constitutive eq...

The last twenty years has seen considerable and fruitful research in the field of nonsmooth boundary value problems (BVP’s) for partial differential equations. The objective is to understand the behavior and properties of solutions to either variable coefficient equations with minimal regularity assumptions on the coefficients or to linear constant coefficient equations in domains with nonsmoot...

Fractional order partial differential equations, as generalizations of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of application. In this paper we discuss a practical alternating directions implicit method to solve a class of two-dimensional initial-boundary value fractional partial differential equation...

In this article, solution of complex partial derivative equations with variable coefficients from the first and second order have been investigated. For solution, an iteration relation was obtained using reduced differential transform method. This method also applied for ordinary which examined in literature. The has seen compatible