A class of nonlocal impulsive differential equations with conformable fractional derivative

Controllability for a Class of Nonlocal Impulsive Neutral Fractional Functional Differential Equations

In this article, we have dealt with the controllability for impulsive (Imp.) neutral fractional functional integro-differential equations with state dependent delay (S-D Delay) subject to non-local conditions. We have obtained the appropriate conditions for Controllability result by using the classical fixed point technique and analytic operator theory under the more general conditions. At last...

Impulsive Functional-differential Equations with Nonlocal Conditions

Existence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions

In the present work, we investigate the existence of a mild solution of the fractional order differential equation with impulsive conditions in a Banach space. We establish the existence of a mild solution by using some fixed point theorems and resolvent operator theory. We present an example for showing the effectiveness of the main theory. Mathematics subject classification (2010): 34K37, 34K...

Impulsive fractional differential equations with variable times

K e y w o r d s I m p u l s i v e functional differential equations, Variable times, Fixed point. 1. I N T R O D U C T I O N This note is concerned with the existence of solutions, for the initial value problems (IVP for short), for first-order functional differential equations with impulsive effects y' ( t )=f( t , yt), a.e. t e J = [ O , T ] , t¢Tk(y(t)), k = l , . . . , m , (1) y(t +) = Ik(y...

Solving Fuzzy Impulsive Fractional Differential Equations by Homotopy Perturbation Method

In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...