THERMAL SCIENCE

International Scientific Journal

Mir Sajjad Hashemi

,

Mustafa Inc

,

Dumitru Baleanu

ON FRACTIONAL KDV-BURGERS AND POTENTIAL KDV EQUATIONS: EXISTENCE AND UNIQUENESS RESULTS

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.
KEYWORDS
Conformable fractional derivative, Existence and uniqueness, Invariant subspace method, KdV-Burgers equation, Potential KdV equation
PAPER SUBMITTED: 2019-01-01
PAPER REVISED: 2019-09-20
PAPER ACCEPTED: 2019-10-05
PUBLISHED ONLINE: 2019-11-02
DOI REFERENCE: https://doi.org/10.2298/TSCI190101400H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2107 - S2117]
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On fractional KdV-burgers and potential KdV equations: Existence and uniqueness results

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