The Riga plate is a substantial alteration in the world of engineering. Mainly used submarines to regulate water flow, studying behaviour fluid flowing over very advantageous. Although there are ample studies on plate, introduction fractional derivatives, coupled with non-Newtonian fluid, has yet be done. Within field mechanics, specifically boundary layer derivatives do not have proven geometr...

In this short note, we investigate the Allen-Cahn equation with appearance of Caputo-Fabizzio derivative. We obtain a local solution when initial value is small enough. This an that has many practical applications. The power term in nonlinear component source function and operator combine to make finding space more difficult than classical problem. discovered new technique, connecting Hilbert s...

The equivalent system for a multiple-rational-order (MRO) fractional differential system is studied, where the fractional derivative is in the sense of Caputo or Riemann-Liouville. With the relationship between the Caputo derivative and the generalized fractional derivative, we can change the MRO fractional differential system with a Caputo derivative into a higher-dimensional system with the s...

In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution ...

<p style='text-indent:20px;'>In this paper, we study fractional subdiffusion fourth parabolic equations containing Caputo and Caputo-Fabrizio operators. The main results of the paper are presented in two parts. For first part with derivative, focus on global local well-posedness results. We mild solution for biharmonic heat equation derivative case globally Lipschitz source term. A new we...

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...

In a fractional Cauchy problem, the usual first order time derivative is replaced by a fractional derivative. This problem was first considered by Nigmatullin (1986), and Zaslavsky (1994) in R for modeling some physical phenomena. The fractional derivative models time delays in a diffusion process. We will give a survey of the recent results on the fractional Cauchy problem and its generalizati...