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

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Ukrainian Mathematical Journal Aims and scope

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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Authors and Affiliations

  1. University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhawa, Pakistan

    A. Ali & K. Shah

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  1. A. Ali
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  2. K. Shah
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Correspondence to K. Shah.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 2, pp. 147–160, February, 2020.

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Ali, A., Shah, K. Ulam–Hyers Stability Analysis of a Three-Point Boundary-Value Problem for Fractional Differential Equations. Ukr Math J 72, 161–176 (2020). https://doi.org/10.1007/s11253-020-01773-2

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  • DOI: https://doi.org/10.1007/s11253-020-01773-2

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