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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
ON FRACTIONAL KdV-BURGERS AND POTENTIAL KdV EQUATIONS Existence and Uniqueness Results
Type
JournalPaper
Keywords
conformable fractional derivative, existence and uniqueness, invariant subspace method, KdV-Burgers equation, potential KdV equation
Year
2019
Journal Thermal Science
DOI
Researchers Mir Sajjad Hashemi ، mustafa Inc ، Dumitru Baleanu

Abstract

Recently a new kind of derivatives, namely the conformable derivative is introduced which have not many drawbacks of other fractional derivatives. Two types of KdV equations with conformable derivative are investigated in this paper. Existence and uniqueness of two different equations of KdV class with conformable derivatives are investigated. It is also shown that the invariant subspace method can be extended to find the exact solutions of these equations.