Non-Differentiable Solution of Nonlinear Biological Population Model on Cantor Sets

• Main Authors: Djelloul Ziane, Mountassir Hamdi Cherif, Dumitru Baleanu, Kacem Belghaba
• Format: Article
• Language: English
• Published: MDPI AG 2020-02-01
• Series: Fractal and Fractional
• Subjects: local fractional homotopy analysis method; nonlinear biological population model local fractional derivative; non-differentiable solution
• Online Access: https://www.mdpi.com/2504-3110/4/1/5
• ISSN: 2504-3110

The main objective of this study is to apply the local fractional homotopy analysis method (LFHAM) to obtain the non-differentiable solution of two nonlinear partial differential equations of the biological population model on Cantor sets. The derivative operator are taken in the local fractional sense. Two examples have been presented showing the effectiveness of this method in solving this model on Cantor sets.