Non-local Integrals and Derivatives on Fractal Sets with Applications

2017/01/03 by Alireza Khalili Golmankhaneh, Dumitru Bǎleanu, Golmankhaneh, Alireza K. +1 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Advanced Mathematical Theories and Applications #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.1701.01054

Abstract

In this paper, we discussed the non-local derivative on the fractal Cantor set. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared and related physical models are suggested.

Cited by

• On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability

Related

• The Mellin Transform and Non-local Derivatives of Fractal Calculus
• Local Fractional Derivatives and Fractal Functions of Several Variables
• Calculus on fractal subsets of real line - I: formulation
• On the Stability of Fractal Differential Equations
• Local Fractional Calculus: a Review