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Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives
- Source :
- Journal of Function Spaces, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.
- Subjects :
- Article Subject
Inverse
010103 numerical & computational mathematics
01 natural sciences
law.invention
Fractional calculus
010101 applied mathematics
Invertible matrix
law
Kernel (statistics)
QA1-939
Applied mathematics
Decomposition method (constraint satisfaction)
0101 mathematics
Mathematics
Analysis
Subjects
Details
- ISSN :
- 23148888 and 23148896
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Journal of Function Spaces
- Accession number :
- edsair.doi.dedup.....be55f2204285b93c67532bd71bab26de