Journal
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Volume 28, Issue 4, Pages 393-411Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
DOI: 10.22436/jmcs.028.04.07
Keywords
Hyers-Ulam stability (HUS); Hyers-Ulam sigma-stability (sigma HUS); differential equation (DE); Sawi transform (ST)
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This study investigates the Hyers-Ulam stability of nth order differential equations using the Sawi transform, aiming to derive a generalized stability result for linear homogeneous and non-homogeneous differential equations.
The use of the Sawi transform has increased in the light of recent events in different approaches. The Sawi transform is also seen as the easiest and most effective way among the other transforms. In line with this, the research deals with the Hyers-Ulam stability of nth order differential equations using the Sawi transform. The study aims at deriving a generalised Hyers-Ulam stability result for linear homogeneous and non-homogeneous differential equations.
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