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Fractional Fourier transform and stability of fractional differential equation on Lizorkin space
journal contribution
posted on 2020-01-01, 00:00 authored by B Unyong, A Mohanapriya, A Ganesh, G Rajchakit, V Govindan, R Vadivel, N Gunasekaran, Chee Peng LimChee Peng LimAbstractIn the current study, we conduct an investigation into the Hyers–Ulam stability of linear fractional differential equation using the Riemann–Liouville derivatives based on fractional Fourier transform. In addition, some new results on stability conditions with respect to delay differential equation of fractional order are obtained. We establish the Hyers–Ulam–Rassias stability results as well as examine their existence and uniqueness of solutions pertaining to nonlinear problems. We provide examples that indicate the usefulness of the results presented.
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Journal
Advances in Continuous and Discrete ModelsVolume
2020Issue
1Article number
578Pagination
1 - 23Publisher
SpringerLocation
Berlin, GermanyPublisher DOI
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2731-4235Language
EnglishPublication classification
C1 Refereed article in a scholarly journalUsage metrics
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