A modified invariant subspace method for solving partial differential equations with non-singular kernel fractional derivatives

DOI10.2478/amns.2020.2.00012OpenAlexW3041464168MaRDI QIDQ2690749

Kamal Ait Touchent, Toufik Mekkaoui, Zakia Hammouch

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00012

zbMATH Keywords

exact solutionpartial differential equationsCaputo-Fabrizio fractional derivativeAtangana-Baleanu fractional derivativemodified invariant subspace method

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Invariant subspaces of linear operators (47A15) Fractional partial differential equations (35R11)

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Cites Work

• Construction of exact solutions for fractional order differential equations by the invariant subspace method
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• Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations
• An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
• Invariant subspace method: a tool for solving fractional partial differential equations
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