Solutions of fractional difference equations using S-transforms

J. Jagan Mohan; G.V.S.R. Deekshitulu

doi:10.26637/mjm103/002

Abstract

In the present paper, we define the nabla discrete Sumudu transform (S-transform) and present some of its basic properties. We obtain the nabla discrete Sumudu transform of fractional sums and differences. We apply this transform to solve some fractional difference equations with initial value problems. Finally, using S-transforms, we prove that discrete Mittag-Leffler function is the eigen function of Caputo type fractional difference operator \(\nabla^\alpha\).

Keywords:

Difference equation, fractional difference, Caputo type, initial value problem, Sumudu transform

Mathematics Subject Classification:

39A10, 39A99

Authors Imprint References Funding Related Articles Downloads

J. Jagan Mohan Fluid Dynamics Division, School of Advanced Sciences, VIT University, Vellore - 632014, Tamil Nadu, India. https://orcid.org/0000-0002-1310-8323
G.V.S.R. Deekshitulu Department of Mathematics, JNTU Kakinada, Kakinada - 533003, Andhra Pradesh, India.

Pages: 7-13
Date Published: 01-07-2013
Vol. 1 No. 03 (2013): Malaya Journal of Matematik (MJM)

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