On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

• Published in: Mathematical methods in the applied sciences Vol. 44; no. 6; pp. 4673 - 4685
• Main Author: Ghanbari, Behzad
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.04.2021
• Subjects: Basis functions; cantor set; efficient technique; Exact solutions; Fractional calculus; Gardner's equation; local fractional derivative; numerical simulation; Partial differential equations; Thermal expansion

One of the most interesting branches of fractional calculus is the local fractional calculus, which has been used successfully to describe many fractal problems in science and engineering. The main purpose of this contribution is to construct a novel efficient technique to retrieve exact fractional...