TY - JOUR ID - 13343 TI - Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Alizadeh, Farzaneh AU - Hashemi, Mir Sajjad AU - Haji Badali, Ali AD - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran. Y1 - 2022 PY - 2022 VL - 10 IS - 3 SP - 608 EP - 616 KW - Fractional equation KW - Lie symmetry analysis KW - classical symmetry KW - Conservation laws DO - 10.22034/cmde.2021.45436.1911 N2 - In this work, we use the symmetry of the Lie group analysis as one of the powerful tools that deals with the wide class of fractional order differential equation in the Riemann-Liouville concept. We employ the classical Lie symmetries to obtain similarity reductions of nonlinear time-fractional Benjamin-Ono equation and then, we find the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators obtained, we construct conservation laws for related classical vector fields of time-fractional Benjamin-Ono equation. UR - https://cmde.tabrizu.ac.ir/article_13343.html L1 - https://cmde.tabrizu.ac.ir/article_13343_2e61acc95f056d4e56b94e68579ee004.pdf ER -