In this paper, the homotopy perturbation method is utilized to derive analytical solutions for fractal linear and nonlinear Schrödinger equations. The effectiveness of the proposed technique is validated through several representative examples, demonstrating its capability to handle a broad class of fractal differential equations arising in mathematical physics.
Khalili Golmankhaneh, A., Bongiorno, D., Torres, D.F.M., Jørgensen, P.E.T. (2026). Homotopy perturbation method for solving fractal linear and nonlinear schrödinger equations. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 163(5) [10.1016/j.cnsns.2026.110699].
Homotopy perturbation method for solving fractal linear and nonlinear schrödinger equations
Donatella Bongiorno;
2026-11-05
Abstract
In this paper, the homotopy perturbation method is utilized to derive analytical solutions for fractal linear and nonlinear Schrödinger equations. The effectiveness of the proposed technique is validated through several representative examples, demonstrating its capability to handle a broad class of fractal differential equations arising in mathematical physics.
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