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Ulam type stability for conformable fractional differential equations

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Abstract

In this paper, we present some new stability criteria in the sense of Ulam for the solutions of fractional differential equations involving the conformable fractional derivative. Our results are based on a fixed point alternative which is developed for generalized metric spaces. This study improves and extends the literature in this topic since there is no previous progress on the problem we consider. We also provide examples to illustrate our results in a separate section.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey

    Süleyman Öğrekçi

  2. Department of Mathematics, Faculty of Arts and Science, Bolu Abant İzzet Baysal University, Bolu, Turkey

    Yasemin Başcı

  3. Department of Mathematics, Faculty of Arts and Science, Gazi University, Ankara, Turkey

    Adil Mısır

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  1. Süleyman Öğrekçi
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  2. Yasemin Başcı
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  3. Adil Mısır
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Correspondence to Süleyman Öğrekçi.

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Öğrekçi, S., Başcı, Y. & Mısır, A. Ulam type stability for conformable fractional differential equations. Rend. Circ. Mat. Palermo, II. Ser 70, 807–817 (2021). https://doi.org/10.1007/s12215-020-00532-3

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  • DOI: https://doi.org/10.1007/s12215-020-00532-3

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