Abdeljawad, ThabetJarad, FahdZada, Mian BahadurSarwar, Muhammad2022-05-132025-09-182022-05-132025-09-182020Zada, Mian Bahadur...et al. (2020). "Generalized Darbo-Type F -Contraction and F -Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation", Journal of Function Spaces, Vol. 2020.2314-88962314-8888https://doi.org/10.1155/2020/4581035https://hdl.handle.net/20.500.12416/14063Abdeljawad, Thabet/0000-0002-8889-3768In this work, we introduce various Darbo-type F -contractions pound, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F -expanding pound mapping and prove fixed point theorems under the Darbo-type F -expanding pound mapping. Employing our results, we check the existence of a solution to the nonlinear fractional-order differential equation under the integral type boundary conditions. For its validity, an appropriate example is given.eninfo:eu-repo/semantics/openAccessArticle10.1155/2020/45810352-s2.0-85097220372