Electronic Journal of Differential Equations, Vol. 2002(2002), No. 98, pp. 1-11. Title: Almost periodic solutions of semilinear equations with analytic semigroups in Banach spaces Authors: Mohamed Bahaj (Faculty of Sci,d Tech., Settat, Morocco) Omar Sidki (Faculty of Sci,d Tech., Fez, Morocco) Abstract: We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equations having analytic semigroups. Our basic tool in this paper is the use of fractional powers of operators. Submitted August 15, 2002. Published November 27, 2002. Math Subject Classifications: 34K05, 34K14, 34G20. Key Words: Semilinear equation in Banach spaces; almost periodic solution; infinitesimal generator of analytic semigroups; fractional powers.