Existence and Stability Analysis of Three Point Boundary Value Problem

In this research article, we study the existence and uniqueness of solution for a three points boundary value problem of fractional order differential equations. Further, we also investigate different kinds of Ulam stability such as Ulam-Hyers (UH) stability, generalized Ulam-Hyers (GUH) stability, Ulam-Hyers-Rassias (UHR) stability and generalized Ulam-Hyers-Rassias (GUHR) stability for the proposed problem. The concerned analysis is carried out via using classical technique of nonlinear functional analysis. The main results are demonstrated by providing couple of examples.

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