Archana Chauhan, Jaydev Dabas
In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution.
Submitted April 29, 2011. Published August 24, 2011.
Math Subject Classifications: 34K05, 34A12, 34A37, 26A33.
Key Words: Fractional order differential equation; nonlocal conditions; contraction mapping; mild solution; impulsive conditions.
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| Archana Chauhan |
Department of Mathematics
Motilal Nehru National Institute of Technology
Allahabad - 211 004, India
| Jaydev Dabas |
Department of Paper Technology, IIT Roorkee
Saharanpur Campus, Saharanpur - 247001, India
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