... phenomena because of its numerous advantages. Recently, He's fractal derivative has been used successfully in science and engineering to characterize fractal structures (He et al., 2012 ; Wang et al., 2019 ; He and El-Dib, 2020 ; Ji et al., 2020 ; Wang et al., 2018...

... of a soliton is modeled based on He’s fractal derivative in a microgravity space. The variational principle of the alternative model is constructed by semi-inverse method. The variational principle can be used to establish the conservation laws and reveal the structure of the solution. Finally, its approximate...