the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

Singularly perturbed 2D parabolic delay differential equations with the discontinuous source term and convection coefficient are taken into consideration in this paper. For time derivative, we use fractional implicit Euler method, followed by fitted finite difference method bilinear interpolation for locally one-dimensional problems. The proposed is shown to be almost first-order convergent spa...

In this paper, we implement Regular Perturbation Method (RPM) of the Solving fractional diffusion-reaction equation, in order to determine exact analytical solutions some linear equation. general, solving using method allow obtain or approximate solutions. For case diffusion and diffusion-convection equations solved document, obtained are exact. By comparing these with those by other researcher...

It has been suggested that evolution of a terrestrial magma ocean does not unavoidably follow a fractional crystallization scenario. Convection is able to preclude differentiation until a sharp viscosity increase occurs near some critical crystal fraction. However, this kind of crystallization and its physical and chemical consequences have not been previously studied. •Ve consider an end-membe...