A detailed study on a new ( 2 + 1 ) $(2 + 1)$ -dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative

A detailed study on a new ( 2 + 1 ) $(2 + 1)$ -dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative

Abstract The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new ( 2 + 1 ) $(2 + 1)$ -dimensional mKdV (2D-mKdV) equation involving the Caputo–Fabrizio time-fractional derivative is considere...

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Bibliographic Details
Main Authors: K. Hosseini, M. Ilie, M. Mirzazadeh, D. Baleanu
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Advances in Difference Equations
Subjects:
( 2 + 1 ) $(2 + 1)$ -dimensional mKdV equation
Caputo–Fabrizio time-fractional derivative
Homotopy analysis transform method
Analytic approximation
Fixed-point theorem
Existence and uniqueness of the solution
Online Access:http://link.springer.com/article/10.1186/s13662-020-02789-5

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http://link.springer.com/article/10.1186/s13662-020-02789-5

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