Some results on dynamics of fractional derivatives via difference sequences. (7th December 2020)

• Record Type: Journal Article
• Authors: Baliarsingh, P.; Nayak, L.; Dutta, Hemen
• Other Names: Singh Jagdev guestEditor.; Kumar Devendra guestEditor.; Baleanu Dumitru guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 46:Number 7(2023)
• Page Start: 7714
• Page End: 7724
• Publication Date: 2020-12-07
• Subjects: difference sequence spaces -- fractional dynamics -- Laplace transform -- Mittag‐Leffler function -- Riemann‐Liouville fractional derivatives; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7087
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we extend the applications of difference operators and related sequence spaces for the study of the fractional calculus and its dynamics. In this context, some useful results on dynamics of fractional derivatives have been established and demonstrated with the help of existing formulas. Particularly, this study suggests some basic reasons for dynamic behaviors of Riemann‐Liouville fractional derivatives and provides certain idea for neutralizing them.