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Mir Sajjad Hashemi

Mir Sajjad Hashemi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1641

Research

Title
Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
Type
JournalPaper
Keywords
fractional equation, Lie symmetry analysis, classical symmetry conservation laws
Year
2021
Journal Computational Methods for Differential Equations
DOI
Researchers Farzaneh Alizadeh ، Mir Sajjad Hashemi ، Ali Haji-Badali

Abstract

In this work, we use the symmetry of the Lie group analysis as one of the powerful tools which 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.