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

DOI10.1186/s13662-020-02789-5zbMath1485.35390OpenAlexW3038685862MaRDI QIDQ2116139

M. Ilie, Mohammad Mirzazadeh, Kamyar Hosseini, Dumitru Baleanu

Publication date: 16 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02789-5

zbMATH Keywords

fixed-point theoremanalytic approximationhomotopy analysis transform method\((2 + 1)\)-dimensional mKdV equationexistence and uniqueness of the solutionCaputo-Fabrizio time-fractional derivative

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional partial differential equations (35R11)

Related Items (3)

An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense ⋮ The Caputo–Fabrizio time-fractional Sharma–Tasso–Olver–Burgers equation and its valid approximations ⋮ Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative

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