Journal article
Homotopy perturbation method for solving fractal linear and nonlinear schrödinger equations
Communications in nonlinear science & numerical simulation, Vol.163(Part 5), 110699
08/25/2026
DOI: 10.1016/j.cnsns.2026.110699
Abstract
•A homotopy perturbation method is developed for fractal linear and nonlinear Schrödinger equations.•The formulation extends Schrödinger models to fractal space and fractal time.•The approach provides an effective analytical tool for fractal differential equations in mathematical physics.
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.
Details
- Title: Subtitle
- Homotopy perturbation method for solving fractal linear and nonlinear schrödinger equations
- Creators
- Alireza Khalili Golmankhaneh - Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek, KyrgyzstanDonatella Bongiorno - University of PalermoDelfim F.M. Torres - University of AveiroPalle E.T. Jørgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in nonlinear science & numerical simulation, Vol.163(Part 5), 110699
- DOI
- 10.1016/j.cnsns.2026.110699
- ISSN
- 1007-5704
- eISSN
- 1878-7274
- Publisher
- Elsevier
- Grant note
- CIDMA via FCT: UID/04106/2025
Research is supported by CIDMA (UID/04106/2025) via FCT.
- Language
- English
- Date published
- 08/25/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985221333702771
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