Constant-order derivative (COD) time fractional diffusion models have been successfully
employed to describe transport processes where the rate of diffusion or the diffusion …

In this article, strength of fractional neural networks (FrNNs) is exploited to find the
approximate solutions of nonlinear systems based on Riccati equations of arbitrary order …

The article discusses different schemes for the numerical solution of the fractional Riccati
equation with variable coefficients and variable memory, where the fractional derivative is …

In this paper, we implement Chebyshev pseudo-spectral method for solving numerically
system of linear and non-linear fractional integro-differential equations of Volterra type. The …

In this study, the model Riccati equation with variable coefficients as functions, as well as a
derivative of a fractional variable order (VO) of the Gerasimov-Caputo type, is used to …

In this article, a hybrid numerical technique combining the Laplace transform and residual
power series method is used to construct a series solution of the nonlinear fractional Riccati …

In this paper, we are implemented the Chebyshev spectral method for solving the non-linear
fractional Klein-Gordon equation (FKGE). The fractional derivative is considered in the …

In the present study, a collocation approach based on variouspolynomial basis functions for
solving the nonlinear Riccati differentialequation of fractional-order is presented. Indeed, to …

The Riccati differential equation with a fractional derivative of variable order is considered. A
derivative of variable fractional order in the original equation implies the hereditary property …

A Legendre wavelet operational matrix method (LWM) presented for the solution of
nonlinear fractional order Riccati differential equations, having variety of applications in …