The objective of this manuscript is to present a novel approach modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into model. Particularly distinct contact rates between exposed and infected individuals are taken account in model under study, concept explored with respect component. We demonstrate existence uniqueness solution obtain ...

Abstract Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of non-integer order derivative operator $D_{t}^{\alpha }$ D t ? , more specifically we employ Caputo, Caputo–Fab...

the purpose of this paper is to study the fuzzy fractional differentialequations. we prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. fuzzy derivative is considerin the goetschel-voxman sense and fractional derivative is consider in theriemann liouville sense. at the end, we...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

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...