Open AccessOn fractional KdV-burgers and potential KdV equations: Existence and uniqueness results
Author(s) -
Mir Hashemi Sajjad,
Dumitru Băleanu
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci190101400h
Subject(s) - conformable matrix , uniqueness , korteweg–de vries equation , invariant (physics) , derivative (finance) , mathematics , invariant subspace , mathematical analysis , pure mathematics , physics , mathematical physics , nonlinear system , linear subspace , quantum mechanics , financial economics , economics
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. Ex-istence 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.