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A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation

Emad A. Az-Zo’bi

Department of Mathematics and Statistics, Faculty of Science, Mutah University, Jordan

E-mail Address: eaaz2006@yahoo.com

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Wael A. Alzoubi

Computer Science Department, Ajloun University College, Balqa Applied University, Jordan

E-mail Address: wa2010@bau.edu.jo

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Lanre Akinyemi

https://orcid.org/0000-0002-5920-250X

Department of Mathematics, Prairie View A&M University, Prairie View, Texas, USA

E-mail Address: laakinyemi@pvamu.edu

Corresponding author.

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Mehmet Şenol

Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, Turkey

E-mail Address: msenol@nevsehir.edu.tr

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, and

Basem S. Masaedeh

Department of Mathematics and Statistics, Faculty of Science, Mutah University, Jordan

E-mail Address: basemsmas@gmail.com

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https://doi.org/10.1142/S0217984921502547Cited by:35 (Source: Crossref)

Abstract

The conformable derivative and adequate fractional complex transform are implemented to discuss the fractional higher-dimensional Ito equation analytically. The Jacobi elliptic function method and Riccati equation mapping method are successfully used for this purpose. New exact solutions in terms of linear, rational, periodic and hyperbolic functions for the wave amplitude are derived. The obtained solutions are entirely new and can be considered as a generalization of the existing results in the ordinary derivative case. Numerical simulations of some obtained solutions with special choices of free constants and various fractional orders are displayed.

Keywords:

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