Kausar Shahzadi2025-11-262025-11-262022https://escholar.umt.edu.pk/handle/123456789/12968In this dissertation, we study the two important nonlinear fractional differential equations, beta derivative the generalized reaction duffing model and density dependent m- fractional diffusion reaction equation by using three dependent, generalized tanh method method, generalized bernoulli sub-ode method and generalized Bernoulli sub-ode method. A wave transformation in the fractional form via the beta derivative is applied to transform the differential equations into ordinary differential models. These methods contribute a variety of exact solutions. As a result, a series of exact traveling wave solutions are obtained by using the software mathematica. The numerical simulation of obtaining solutions depicts that the suggested approaches are simple and efficient to produce rapid results as compared to many other methods.enThesis