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Existence and Hyers–Ulam Stability Results for Partial Fractional-Order Delay Differential Equations

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Abstract

In this paper, we first give sufficient conditions for the existence and uniqueness results of the Darboux problem with delays for some partial fractional-order derivations in the sense of Caputo. Secondly, we prove a result regarding the Hyers–Ulam stability of this problem.

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  1. Department of Mathematics, Yildiz Technical University, 34210, Istanbul, Turkey

    Okan Duman & Faruk Develi

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  1. Okan Duman
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  2. Faruk Develi
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Correspondence to Okan Duman.

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Duman, O., Develi, F. Existence and Hyers–Ulam Stability Results for Partial Fractional-Order Delay Differential Equations. Results Math 77, 97 (2022). https://doi.org/10.1007/s00025-022-01629-0

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