EXACT SOLUTIONS OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATION SYSTEMS WITH CONFORMABLE DERIVATIVE

Abstract

Main goal of this paper is to have the new exact solutions of some fractional partial differential equation
systems (FPDES) in conformable sense. The denition of conformable fractional derivative is similar
to limit based denition 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.