# On a new class of abstract impulsive functional differential equations of fractional order

Volume 7, Issue 2, pp 102--114
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### Authors

Pradeep Kumar - Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India. Dwijendra N. Pandey - Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India. D. Bahuguna - Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, 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, 102--114

##### 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):102--114

##### 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): 102--114

### Keywords

• Impulsive fractional differential equations
• Analytic semigroup
• Fixed point theorems.

•  34K45
•  34A60
•  35R12
•  45J05

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