Application of Shehu transform to Atangana-Baleanu derivatives
Volume 20, Issue 2, pp 101--107
http://dx.doi.org/10.22436/jmcs.020.02.03
Publication Date: October 19, 2019
Submission Date: April 05, 2019
Revision Date: September 07, 2019
Accteptance Date: September 10, 2019
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Authors
Ahmed Bokhari
- Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria.
Dumitru Baleanu
- Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey.
- Institute of Space Science, R-077125 Magurle-Bucharest, Romania.
Rachid Belgacem
- Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, Algeria.
Abstract
Recently, Shehu Maitama and Weidong Zhao proposed a new integral transform,
namely, Shehu transform, which generalizes both the Sumudu and Laplace integral transforms. In this paper, we present new further properties of this transform. We apply this transformation to Atangana--Baleanu derivatives in Caputo and in Riemann--Liouville senses to solve some fractional differential equations.
Share and Cite
ISRP Style
Ahmed Bokhari, Dumitru Baleanu, Rachid Belgacem, Application of Shehu transform to Atangana-Baleanu derivatives, Journal of Mathematics and Computer Science, 20 (2020), no. 2, 101--107
AMA Style
Bokhari Ahmed, Baleanu Dumitru, Belgacem Rachid, Application of Shehu transform to Atangana-Baleanu derivatives. J Math Comput SCI-JM. (2020); 20(2):101--107
Chicago/Turabian Style
Bokhari, Ahmed, Baleanu, Dumitru, Belgacem, Rachid. "Application of Shehu transform to Atangana-Baleanu derivatives." Journal of Mathematics and Computer Science, 20, no. 2 (2020): 101--107
Keywords
- Shehu transform
- Mittag-Leffler kernel
- non-singular and non-local fractional operators
MSC
References
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