Numerical solutions of some fractional partial differential equations by new methods

This thesis consists of five main chapters. In the first chapter, information about the formation and development of the fractional derivative is given. In the second part, necessary definitions and theorems are written. In the third section, the methods used are mentioned. In the fourth chapter, fractional Zakharov-Kuznetsov equations, fractional Newell-Whitehead-Segel equations, q-homotopy Shehu analysis transformation method (q-HSATM) for fractional coupled Burgers equations, fractional Shehu transform decomposition method (FSTDM) New numerical solutions were investigated using two different methods called. Numerical simulations have been performed to verify that these methods are effective and reliable. Comparisons between the obtained solutions and analytical solutions were made. In the last chapter, it has been seen that both newly proposed techniques are quite effective for solving nonlinear coherent fractional problems.