Title Existence and uniqeness results for a local boundary value problem including fractional differential equation Type of Research Presentation Keywords Fractional differential equation, Boundary Value Problem, Fixed Point theorem Abstract We establish the existence of solution and uniqueness of positive solution to a boundary value problem of a nonlinear fractional differential equation. Our results are based on some α−ψ-Geraghty contraction mapping generalizations Researchers asghar ahmadkhanlu (First Researcher)