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A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative

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  • Hashemi, M.S.

Abstract

This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize the Nucci’s reduction method to find the exact solutions of such equations. Different general solutions of nonlinear ABR fractional differential equations besides first integrals are discussed in different types such as soliton and implicit solutions.

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  • Hashemi, M.S., 2021. "A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007219
    DOI: 10.1016/j.chaos.2021.111367
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    References listed on IDEAS

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    1. Hashemi, M.S., 2018. "Invariant subspaces admitted by fractional differential equations with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 161-169.
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    1. Turkyilmazoglu, Mustafa & Altanji, Mohamed, 2023. "Fractional models of falling object with linear and quadratic frictional forces considering Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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