Asymptotic attractive nonlinear fractional order Riemann-Liouville integral equations in Banach algebras

Said Abbas; Mouffak Benchohra; Johnny Henderson

Said Abbas Laboratoire de MathÂ´ ematiques, UniversitÂ´ e de SaÂ¨ .da, B.P. 138, 20000, SaÂ¨ .da, AlgÂ´ erie
Mouffak Benchohra Laboratoire de MathÂ´ ematiques, UniversitÂ´ e de Sidi Bel-Abb` es, B.P. 89, 22000, Sidi Bel-Abb` es, AlgÂ´ erie
Johnny Henderson Department of Mathematics, Baylor University Waco, Texas 76798-7328 USA

Abstract

By applying some fixed point theorems, we obtain some results concerning the existence and local asymptotic attractivity of solutions for a functional integral equation of Riemann-Liouville fractional order in Banach algebras.