journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1789 A random S-asymptotically δ1-periodic mild solutions for functional evolution equations with delay and random effect Benaissa Amel Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, P. O. Box 89, 22000, Algeria Bouazzaoui Fatima Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, P. O. Box 89, 22000, Algeria Salim Abdelkrim Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, P. O. Box 89, 22000, Algeria Faculty of Technology, Hassiba Benbouali University, Chlef, P. O. Box 151, 02000, Algeria Benchohra Mouffak Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès, PO Box 89, 22000, Algeria 28 5 1759 1777 05 05 2025

Our aim in this work is to study the existence of S-asymptotically δ1-periodic mild almost automorphic solutions of a random functional evolution equation with infinite delay and random effects with results based on a random fixed point theorem with stochastic domain. We give an example to show the applicability of our results. 

 Random fixed point Functional evolution equation Mild solution Infinite delay Almost automorphic access open retracted no