An analytical investigation of time-fractional Sharma–Tasso–Olever equation arising in physical sciences

This work provides a modified analytical approximation method for the Sharma-Tasso-Olever(STO) equation with fractional order. First, we offer an alternative framework of the modified homotopy analysis technique ($\eta-$HAM) in combination with a new integral transform that may be utilized to treat nonlinear fractional differential equations appearing in a variety of physical phenomena simply and effectively. The obtained results are displayed using tables and graphs. The numerical results show that the suggested method is trustworthy, has a short processing time, and is very accurate. Furthermore, comparative tests were performed to verify that the suggested approach coincides nicely with current methodologies in the literature. The proposed technique is a tried-and-true technique that produces approximate results quickly while keeping high precision.