In this paper we propose a new solution technique for numerical solution of fractional Benney equation, a fourth degree nonlinear fractional partial differential equation with broad range of applications. The method could be described as a hybrid technique which uses advantages of both wavelets and operational matrices. Having applied the present method, fractional Benney equation is converted ...

Here we consider the ordinary and fractional approximation of functions by sublinear positive operators with applications to generalized convolution type expressed integrals such as Choquet Shilkret ones. The is under differentiability Caputo, Canavati Iterated-Caputo types. We produce Jackson inequalities basic initial conditions. So our way quantitative producing their right hand sides involv...

The aim of this work is to describe the dynamics a fractional-order coupled FitzHugh–Nagumo neuronal model. equilibrium states are analyzed in terms their stability properties, both dependently and independently fractional orders Caputo derivatives, based on recently established theoretical results. Numerical simulations shown clarify exemplify

in this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. we approximate the exact solution by use of radial basis function(rbf) collocation method. this techniqueplays an important role to reduce a fractional dierential equation to a system of equations. the numerical results demonstrate the accuracy and ability of this me...

the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...