Akademik Veri Yönetim Sistemi
Arabian Journal of Mathematics, 2025 (ESCI)
The focus of this research is to achieve analytical and approximate solutions for generalized nonlinear fractional Schrödinger problems by residual power series method (RPSM). The fractional derivatives are taken as M-fractional derivative. This fractional derivative is a well-behaved derivative which is used in various fractional mathematical models. Various orders of Schrödinger equations are investigated in given examples. The obtained results and examples demonstrated the efficiency and accuracy of the proposed method. Moreover, illustrated graphs in examples verify the importance of the presented method.