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Ulam–Hyers Stability Analysis of a Three-Point Boundary-Value Problem for Fractional Differential Equations
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Ulam–Hyers Stability Analysis of a Three-Point Boundary-Value Problem for Fractional Differential Equations

A. Ali and K. Shah
Ukrainian mathematical journal, Vol.72(2), pp.161-176
01/07/2020
DOI: https://doi.org/10.1007/s11253-020-01773-2

Abstract

Algebra Analysis Applications of Mathematics Article general Geometry Mathematics Mathematics and Statistics Statistics
We study the problem of existence and uniqueness of the solution of a three-point boundary-value problem for a differential equation of fractional order. Further, we investigate various kinds of the Ulam stability, such as the Ulam–Hyers stability, the generalized Ulam–Hyers stability, the Ulam–Hyers–Rassias stability, and the generalized Ulam–Hyers–Rassias stability for the analyzed problem. We also present examples to explain our results.

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