Random franctional differential equations with homotopy perturbation method

The coefficients of this overarching ordinary, abstract, and differential equations effects, or by choosing from different distribution distributions at initial conditions, the equations are randomized. Continuous general distribution distributions such as Normal, Gamma, Uniform, Laplace, Beta, and Triangular for random frames are studied. Solutions were obtained by using the Homotopy Perturbation Method, which is widely used in the literature of randomized equations and in the solution of nonlinear equations. The most commonly used expected values, variances and ranges from the properties of the models of the obtained random differential equations were calculated and the graphs of the solutions were drawn by MATLAB or MAPLE package users.