Solutions of some conformable fractional partial differential equations with proportional delay by the new numerical methods

This thesis consists of five main chapters. In the first chapter, general information about proportional delay differential equations is mentioned. In the second chapter, basic definitions and theorems are given. In the third section, the produced methods are explained. In the fourth chapter, new numerical solutions were found by using two new methods called proportional delay non-linear conformable time-fractional generalized Burgers (CTFGB) equations, conformable q-Mohand homotopy analysis transform method (Cq-MHATM), and conformable fractional Mohand decomposition method (CFMDM). Numerical simulations are performed to show that the proposed methods are effective and reliable. Absolute error calculations are made. In the conclusion section, it is predicted that both newly produced methods are effective for examining nonlinear conformable fractional partial differential equations with proportional delay. Keywords: Conformable q-Mohand homotopy analysis transform method, conformable fractional Mohand decomposition method