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Exact solutions of fractional partial differential equation systems with conformable derivative

Özkan Ozan (Department of Mathematics, Selçuk University, Konya, Turkey)
Kurt Ali (Department of Mathematics, Pamukkale University, Denizli, Turkey)

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.

Keywords: Double Laplace transform, conformable fractional derivative, conformable fractional integral, fractional integrodifferential equation