Existence of fractional differential chains and factorizations based on transformations. (12th August 2014)

• Record Type: Journal Article
• Authors: Ibrahim, Rabha W.; Jahangiri, Jay M.
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 12(2015:Aug. 15)
• Page Start: 2630
• Page End: 2635
• Publication Date: 2014-08-12
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3251
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3251-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3251-para-0001">In this work, we deal with the existence of the fractional integrable equations involving two generalized symmetries compatible with nonlinear systems. The method used is based on the Bä cklund transformation or B‐transformation. Furthermore, we shall factorize the fractional heat operator in order to yield the fractional Riccati equation. This is done by utilizing matrix transform Miura type and matrix operators, that is, matrices whose entries are differential operators of fractional order. The fractional differential operator is taken in the sense of Riemann–Liouville calculus. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>