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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)),… (More)
We provide in this paper, sufficient conditions for the existence of bounded solutions for a class of initial value problem on the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, using the Schauder fixed point theorem combined with the diagonalization process.
In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions with variable times involving the Caputo fractional derivative. AMS Subject Classifications: 26A33, 34A37, 34A60.