This paper deals with the (?,c)-periodic solutions to impulsive fractional differential equations Caputo derivative a fixed lower limit. Firstly, necessary and sufficient condition of existence linear problem is given. Secondly, uniqueness semilinear are proven. Lastly, two examples given demonstrate our results.

In this paper ,the obsevability of fractional differential impulsive multi control abstract problem with integral nonlocal initial condition have been studied as Cauchy for using Banach fixed point which defined on space presented is piecewise continuous and proprieties the observable their problem.

in this article we implement an operational matrix of fractional integration for legendre polynomials. we proposed an algorithm to obtain an approximation solution for fractional differential equations, described in riemann-liouville sense, based on shifted legendre polynomials. this method was applied to solve linear multi-order fractional differential equation with initial conditions, and the...

This paper investigates the existence of positive solutions for a class of boundary value problems (BVP) of fractional impulsive differential equations and presents a number of new results. First, by constructing a novel transformation, the considered impulsive system is convert into a continuous system. Second, using a specially constructed cone, the Krein-Rutman theorem, topological degree th...

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described...

Abstract. In this paper, we deal with the impulsive control systems of fractional order and their optimal controls in Banach spaces. We firstly show the existence and uniqueness of mild solutions for a broad class of impulsive fractional infinite dimensional control systems under suitable assumptions. Then by using generally mild conditions of cost functionals, we extend the existence result of...

This paper is intended as an attempt to investigate the existence and stability of solutions for a class fractional optimal control problems characterized with non-instantaneous impulsive differential equations. By using method minimizing sequence related conclusions set-valued mapping, results solvability are obtained in suitable metric space.