| Popis: |
In this paper, we describe the new Adomian Decomposition General Transform Method (ADGTM). Further, the efficacy of the method is proved by applying it to well-known equations, such as the logistic equation, Emden–Lane–Fowler equation, Gardner equation, and Cahn–Hilliard equation, in fractional order to study the intrinsic behavior. We compare the results with other well-known methods like RPSM, and q-HATM to prove the reliability and accuracy of the proposed method. For the selected applications, we frame 2D and 3D graphs to explain how the fractional-order derivative affects the behavior of the obtained solutions. |
