Analytical solutions of conformable fractional order partial differential equations with the new extended direct algebraic method

In the first part of the thesis, which consists of five parts, the introduction part is given. In the second part, studies involving the solutions of partial differential equations are given. In the third chapter, the definition of conformable fractional derivative approach and the new extended direct algebraic method are given. In the fourth chapter, which is the original part of the thesis, analytical solutions of the fractional order Whitham-Broer-Kaup and Sawada-Kotera-Ito equations containing conformable fractional derivatives are obtained by the new extended direct algebraic method. In the last chapter, the fifth chapter, conclusions and recommendations were given.