This accessible monograph is devoted to a rapidly develo** area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

​​​ Topics in Fractional Differential Equations is devoted to the existence and uniqueness
of solutions for various classes of Darboux problems for hyperbolic differential equations or …

In this paper, we prove the existence and controllability results for fractional semilinear
differential inclusions involving the Caputo derivative in Banach spaces. The results are …

This article deals with the existence of solutions of nonlinear fractional pantograph
equations. Such model can be considered suitable to be applied when the corresponding …

This paper is concerned with the formula of mild solutions to impulsive fractional evolution
equation. For linear fractional impulsive evolution equations [8–25, 27, 30, 31], described …

Communications in Applied Analysis 19 (2015), 515–526 EXISTENCE AND UNIQUENESS OF
SOLUTIONS TO FRACTIONAL ORDER MULTI-POINT BO Page 1 Communications in Applied …

Under some suitable conditions, we prove the solvability of a large class of nonlinear
fractional integro-differential equations by establishing some fractional integral inequalities …

The solvability of initial value problems for nonlinear Langevin equation involving two
fractional orders are discussed in this paper. An existence result for the solution is obtained …

This paper is concerned with the controllability of linear and nonlinear fractional dynamical
systems in finite dimensional spaces. Sufficient conditions for controllability are obtained …

The aim of this paper is develo** conditions that guarantee the existence of a solution to a
toppled system of differential equations of noninteger order with fractional integral boundary …