Ulam-Hyers stability analysis to a three-point boundary value problem for fractional differential equations

  • K. Shah Univ. Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan
  • A. Ali Univ. Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan
Keywords: three-points boundary value problem, Ulam-Hyers stability, differential equations


UDC 517.9

We study the problem of existence and uniqueness of 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 provide examples to explain our results.


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How to Cite
Shah, K., and A. Ali. “Ulam-Hyers Stability Analysis to a Three-Point Boundary Value Problem for Fractional Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 2, Feb. 2020, pp. 147-60, http://umj.imath.kiev.ua/index.php/umj/article/view/371.
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