Analytical and numerical solution methods of (n+1)-dimensional conformable fractional partial differential equations

This thesis consists of four chapters. In the first chapter, the literature review on the subject is made, and the basic concepts of the research are explained. In the second chapter, the materials and methods to be used in the thesis are explained in detail. In the third chapter, the (3+1)-dimensional P-Type evolution equation and the (3+1)-dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani (KP-SK-R) equation are discussed. The analytical solution methods of Modified Extended tanh function and Extended Exponential expansion are applied for these equations, and the numerical solution method (RKSM) is applied for the Kadomtsev-Petviashvili-Sawada-Kotera-Ramani (KP-SK-R) equation. Some of the obtained solutions are illustrated using 3D, contour, and 2D plots. In addition, analytical and numerical solutions are compared for specific parameters, and the results are presented in a comparison table. In the fourth and final chapter, the general results of the study are discussed, and suggestions for future studies are made based on the findings.