In this study, we introduce the concept of admissible \(\alpha\) - \(\eta\) - \(\mathcal {F}\) -simulation fuzzy contraction mappings as an innovative extension within the realm of fuzzy contraction notions. The investigation systematically establishes the existence and uniqueness of fixed points pertaining to this category of mappings. To validate the precision of our findings, we apply the proposed concept to fractional integro-differential equations. The outcomes of our research serve to fortify, extend, and consolidate various antecedent studies within the academic literature.
