Karapinar, ErdalKarapınar, ErdalFulga, AndreeaAydi, HassenMatematik2023-01-162023-01-162020Karapınar, Erdal; Fulga, Andreea; Aydi, Hassen (2020). "Study on Pata E-contractions", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847https://doi.org/10.1186/s13662-020-02992-4Aydi, Hassen/0000-0003-4606-7211In this paper, we introduce the notion of an alpha-(zeta) over tilde -E-Pata contraction that combines well-known concepts, such as the Pata contraction, the E-contraction and the simulation function. Existence and uniqueness of a fixed point of such mappings are investigated in the setting of a complete metric space. An example is stated to indicate the validity of the observed result. At the end, we give an application on the solution of nonlinear fractional differential equations.eninfo:eu-repo/semantics/openAccessFixed PointPata Type ContractionE-ContractionFractional Integral EquationOrbital Admissible MappingArticle2020110.1186/s13662-020-02992-42-s2.0-85091714214WOS:000576936600001Q1N/A