On a new class of abstract impulsive functional differential equations of fractional order
Authors
Pradeep Kumar
 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur208016, India.
Dwijendra N. Pandey
 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee247667, India.
D. Bahuguna
 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur208016, India.
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.
Share and Cite
ISRP Style
Pradeep Kumar, Dwijendra N. Pandey, D. Bahuguna, On a new class of abstract impulsive functional differential equations of fractional order, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 2, 102114
AMA Style
Kumar Pradeep, Pandey Dwijendra N., Bahuguna D., On a new class of abstract impulsive functional differential equations of fractional order. J. Nonlinear Sci. Appl. (2014); 7(2):102114
Chicago/Turabian Style
Kumar, Pradeep, Pandey, Dwijendra N., Bahuguna, D.. "On a new class of abstract impulsive functional differential equations of fractional order." Journal of Nonlinear Sciences and Applications, 7, no. 2 (2014): 102114
Keywords
 Impulsive fractional differential equations
 Analytic semigroup
 Fixed point theorems.
MSC
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