Mittag-Leffler-Hyers-Ulam stability of differential equation using Fourier transform

DOI10.1186/s13662-020-02854-zzbMath1485.34180OpenAlexW3046557847WikidataQ115241363 ScholiaQ115241363MaRDI QIDQ2114268

Anumanthappa Ganesh, Arusamy Mohanapriya, Vediyappan Govindan, Chun-Gil Park

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02854-z

zbMATH Keywords

Fourier transformdifferential equationMittag-Leffler-Hyers-Ulam stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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Fractional Fourier transform and stability of fractional differential equation on Lizorkin space, Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform, On approximate solutions of a class of Clairaut's equations, Heat kernel method for quintic and sextic equations in distributions and hyperfunctions

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