Krishnan Balachandran and Dong Gun Park Bharathiar University and Dong-A University
Abstract : We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.
Keywords : existence of solution, quasilinear integrodifferential equation, analytic semigroup, fixed point theorem