Open AccessExact solutions of fractional partial differential equation systems with conformable derivative
Author(s) -
Ozan Özkan,
Ali Kurt
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1905313o
Subject(s) - conformable matrix , mathematics , derivative (finance) , generalizations of the derivative , fractional calculus , partial derivative , partial differential equation , quotient , chain rule (probability) , mathematical analysis , material derivative , product (mathematics) , limit (mathematics) , pure mathematics , geometry , physics , law of total probability , bayesian probability , statistics , posterior probability , quantum mechanics , financial economics , economics
Main goal of this paper is to have the new exact solutions of some fractional partial differential equation systems (FPDES) in conformable sense. The definition of conformable fractional derivative (CFD) is similar to the limit based definition of known derivative. This derivative obeys both rules which other popular derivatives do not satisfy such as derivative of the quotient of two functions, the derivative product of two functions, chain rule and etc. By using conformable derivative it is seen that the solution procedure for (PDES) is simpler and more efficient.