Development of Fixed Point Results for αΓ-F-Fuzzy Contraction Mappings with Applications

This manuscript contains several fixed point results for αΓ-F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that distance function is consistent and does not favour any one direction No matter how points are arranged, it enables a fair assessment separations between all them. In results, symmetry condition preserved types self-mappings. Moreover, we provide non-trivial examples to show validity our main results. Furthermore, solve non-linear fractional differential equations, Atangana–Baleanu integral operator Fredholm equations by utilizing