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Mitag-Leffler-Hyers-Ulam Stability of Euler-Cauchy Differential Equation Using Laplace Transform

Article scientifique 2023 Anglais

Résumé

Abstract In this paper, we study the Mittag-Leffler-Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam-Rassias stability of the Euler-Cauchy differential equation using Laplace transform. Basically, for the first time, the Mittag-Leffler-Hyers-Ulam stability of second order differential equation with variable coefficients has been studied through the Laplace transforms. We develop this approach to identify the necessary conditions that the eigenvalue Strum-Liouville equation is Mittag-Leffler-Hyers-Ulam stable. Mathematics Subject Classification (2010): 34K20 , 26D10 , 44A10 , 39B82 , 34A40 , 39A30.

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Ahmed, A. (2023). Mitag-Leffler-Hyers-Ulam Stability of Euler-Cauchy Differential Equation Using Laplace Transform. https://doi.org/10.21203/rs.3.rs-3308077/v1

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Abdel Baset I. Ahmed

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