Geodesic
On a new class of abstract impulsive functional differential equations of fractional order
Kumar, Pradeep1 ; Pandey, Dwijendra N.2 ; Bahuguna, D.1
1 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India
2 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 2, p. 102-114.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.007.02.04
Classification : 34K45, 34A60, 35R12, 45J05
Keywords: Impulsive fractional differential equations, Analytic semigroup, Fixed point theorems.

Kumar, Pradeep 1 ; Pandey, Dwijendra N. 2 ; Bahuguna, D. 1

1 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India
2 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India 
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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 its applications, Tome 7 (2014) no. 2, p. 102-114. doi : 10.22436/jnsa.007.02.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.02.04/

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