Generalized Darbo-Type F -Contraction and F -Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation

Abdeljawad, ThabetZada, Mian BahadurJarad, FahdSarwar, MuhammadAbdeljawad, ThabetJarad, Fahd2022-05-132022-05-132020Zada, 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. 2020.2314-8896https://hdl.handle.net/20.500.12416/5500In this work, we introduce various Darbo-type F£-contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F£-expanding mapping and prove fixed point theorems under the Darbo-type F£-expanding 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. © 2020 Mian Bahadur Zada et al.eninfo:eu-repo/semantics/openAccessGeneralized Darbo-Type F -Contraction and F -Expansion and Its Applications to a Nonlinear Fractional-Order Differential EquationGeneralized Darbo-Type F -Contraction and F -Expansion and Its Applications To a Nonlinear Fractional-Order Differential EquationArticle202010.1155/2020/4581035