This paper intends to obtain accurate and convergent numerical solutions of linear space-time matching telegraph fractional equations by means a double Sumudu transformation method. Moreover, the model is equipped explain work, accuracy sobriety in its presentation method, as result, proposed method shows an effective convenient way, employ proven problems science engineering.

In this paper, the space-time Riesz fractional partial differential equations with periodic conditions are considered. The equations are obtained from the integral partial differential equation by replacing the time derivative with a Caputo fractional derivative and the space derivative with Riesz potential. The fundamental solutions of the space Riesz fractional partial differential equation (...

In this paper, the space-time fractional Eckhaus equation is considered and solved using a direct method (Khater method) to obtain exact solutions. This meth?od produces more solutions when compared other known methods. The real of are classified as travelling wave, kink, periodic sol?itary wave These searched with help conformable derivative sense. Some graphs tables drawn interpret method. Wi...

A method for trimming surfaces generated as solutions to Partial Differential Equations (PDEs) is presented. The work we present here utilises the 2D parameter space on which the trim curves are defined whose projection on the parametrically represented PDE surface is then trimmed out. To do this we define the trim curves to be a set of boundary conditions which enable us to solve a low order e...

We consider a parabolic-type PDE with diffusion given by fractional Laplacian operator and quadratic nonlinearity of the 'gradient' solution, convoluted singular term b. Our first result is well-posedness for this problem: show existence uniqueness (local in time) mild solution. The main about blow-up said particular we find sufficient conditions on initial datum b to ensure solution finite time.

We investigate the fractional heat equation with translation in both time and position different orders. As examples, we consider a rod an α -disk initial constant temperature discuss their cooling processes examined formalism.