Smoking is a social trend that prevalent around the world, particularly in places of learning and at some significant events. The World Health Organization defines smoking as most important preventable cause disease third major death humans. In order to analyze this matter, study typically emphasizes analyzing dynamics fractional quitting model via Caputo-Fabrizio differential operator. For num...

This article presents a rigorous review of the conformable fractional derivative given by J. E. Napoles in [11], studying its classical properties, as differential operator. Likewise, applications are to Physics, specifically free fall bodies and Newton’s law cooling.

We establish the correct solvability of a multipoint nonlocal (in time) problem for evolutionary equation with operator fractional differentiation and an initial function, which is element space generalized functions distribution type. The analytic representation solution presented. also analyze behavior in case unlimited growth time variable (stabilization solution).

The paper is devoted to the study of Brenstien Polynomials and development of some new operational matrices of fractional order integrations and derivatives. The operational matrices are used to convert fractional order differential equations to systems of algebraic equations. A simple scheme yielding accurate approximate solutions of the couple systems for fractional differential equations is ...

The non-local problem is considered for the partial differential equation of mixed-type with Bessel operator and fractional order. An explicit solution represented by Fourier-Bessel series in given domain. It established connection between data unique solvability problem.

Recently, there has been significant development in the existence of mild solutions for fractional semilinear integro-differential equations but optimal control is not provided. The aim of this paper is studying optimal feedback control for fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators ...