This article studies a biological population model in the context of fractional Caputo-Fabrizio operator using double Laplace transform combined with Adomian method. The conditions for existence and uniqueness solution problem under consideration is established use Banach principle some theorems from fixed point theory. Furthermore, convergence analysis presented. For accuracy validation techni...

Abstract In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using concept of weak minima. Multiobjective find their applications in economic planning, flight control design, industrial process control, space structures, production inventory, advertising investment, impu...

The purpose of this article is to solve a nonlinear fractional Klein–Fock–Gordon equation that involves recently created non-singular kernel derivative by Caputo–Fabrizio. Motivated some physical applications related the equation, we focus our study on and phenomena rated it. findings are crucial essential for explaining variety processes. In order find satisfactory approximations offered probl...

This paper presents a new predictor–corrector numerical scheme suitable for fractional differential equations. An improved explicit Atangana–Seda formula is obtained by considering the neglected terms and used as predictor stage of proposed method. Numerical formulas are presented that approximate classical first derivative well Caputo, Caputo–Fabrizio Atangana–Baleanu derivatives. Simulation r...

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to...

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 ...