Sawi transform and Hyers-Ulam stability of \(n^{\rm th}\) order linear differential equations

Volume 28, Issue 4, pp 393--411 http://dx.doi.org/10.22436/jmcs.028.04.07

Publication Date: July 28, 2022 Submission Date: March 05, 2022 Revision Date: March 28, 2022 Accteptance Date: April 23, 2022

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Authors

M. Jayapriya - Department of Mathematics, Government Arts and Science College, Hosur, Tamilnadu, 636902, India. A. Ganesh - Department of Mathematics, Government Arts and Science College, Hosur, Tamilnadu, 636902, India. Sh. S. Santra - Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal, 741235, India. R. Edwan - College Of Science And arts, Al-Ola, Taibah University, Al madinah Al Munawwarahn 344, Saudi Arabia. D. Baleanu - Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Ankaya University, Ankara, 06790 Etimesgut, Turkey. - Instiute of Space Sciences , Magurele-Bucharest, 077125 Magurele, Romania. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Republic of China. Kh. M. Khedher - Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia. - Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul, 8000, Tunisia.

Abstract

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 \(n^{\rm th}\) 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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Keywords

• Hyers-Ulam stability (HUS)
• Hyers-Ulam \(\sigma\)-stability (\(\sigma\)HUS)
• differential equation (DE)
• Sawi transform (ST)

MSC

•  26D10
•  34A40
•  34K20
•  39A30
•  39B82
•  44A10

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