Analytical and approximate solutions of conformable fractional partial differential equations

This thesis consists of four chapters. The first section, a general literature review and some basic concepts are given. In the second chapter, the materials and methods to be used in the thesis are given. In the third chapter, the new generalised (3+1)-dimensional Boussinesq type integrable wave equation, the (2+1)-dimensional nonlinear Boussinesq equation and the extended (2+1)-dimensional nonlinear Evolution equation are described. Then, firstly, the applications of the Extended Exponential (-φ(ξ))-expansion and Modified Generalised Kudryashov methods, which are analytical solution methods for the new generalised (3+1)-dimensional Boussinesq type integrable wave equation, are given. Secondly, applications of the Extended Exponential (-φ(ξ))-expansion method for the (2+1)-dimensional nonlinear Boussinesq equation are given. Finally, applications of the Extended Exponential (-φ(ξ))-expansion and Modified Extended tanh function methods, which are analytical solution methods for the extended (2+1)-dimensional nonlinear Evolution equation, and the Residual Power Series method (RKSY), which is a numerical solution method, are given. In addition, 3D, contour and 2D graphs of some of the obtained solutions are drawn. In addition, a comparison table between numerical and analytical solutions of the present equation for certain parameters is presented. In the fourth chapter, results and discussions are given.