Archana Chauhan, Jaydev Dabas
Abstract:
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 email: archanasingh.chauhan@gmail.com |
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Jaydev Dabas Department of Paper Technology, IIT Roorkee Saharanpur Campus, Saharanpur - 247001, India email: jay.dabas@gmail.com |
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