Title of article :
On a new class of abstract impulsive functional differential equations of fractional order
Author/Authors :
Kumar ، Pradeep - Indian Institute of Technology Kanpur , Pandey ، Dwijendra N. - Indian Institute of Technology Roorkee , Bahuguna ، D. - Indian Institute of Technology Kanpur
Abstract :
In this paper, we prove the existence and uniqueness of mild solutions for the impulsive fractional differential equations for which the impulses are not instantaneous in a Banach space H. The results are obtained by using the analytic semigroup theory and the fixed points theorems.
Keywords :
Impulsive fractional differential equations , Analytic semigroup , Fixed point theorems
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
