Existence of solutions of abstract fractional impulsive semilinear evolution equations
K. Balachandran, Bharathiar University, Coimbatore, India E. J. Qualitative Theory of Diff. Equ., No. 4. (2010), pp. 1-12.
S. Kiruthika, Bharathiar University, Coimbatore, India
| Communicated by M. Benchohra. | Received on 2009-07-11 Appeared on 2010-01-08 |
Abstract: In this paper we prove the existence of solutions of fractional impulsive semilinear evolution equations in Banach spaces. A nonlocal Cauchy problem is discussed for the evolution equations. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the theory.
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