King Fahd University of Petroleum and Minerals,
Department of Mathematical Sciences,
31261 Dhahran, Saudi Arabia.
E-mail: tatarn@yahoo.com
Abstract.
We prove exponential decay for the solution of an abstract integrodifferential
equation.
This equation involves coefficients of polynomial type, weakly singular
kernels as well
as different powers of the unknown in some norms.
AMSclassification. 35R10.
Keywords. Semigroup, fractional operator, weakly singular kernels, exponential decay.