Next Article in Journal
Regularized Integral Representations of the Reciprocal Gamma Function
Previous Article in Journal
Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions
Open AccessArticle

Fractal Calculus of Functions on Cantor Tartan Spaces

1
Department of Physics, Urmia Branch, Islamic Azad University, P.O. Box 969, Oromiyeh, Iran
2
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
3
Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, North Cyprus, via Mersin 10, Turkey
*
Author to whom correspondence should be addressed.
The authors contributed equally to this work.
Fractal Fract 2018, 2(4), 30; https://doi.org/10.3390/fractalfract2040030
Received: 5 December 2018 / Revised: 16 December 2018 / Accepted: 17 December 2018 / Published: 18 December 2018
In this manuscript, integrals and derivatives of functions on Cantor tartan spaces are defined. The generalisation of standard calculus, which is called F η -calculus, is utilised to obtain definitions of the integral and derivative of functions on Cantor tartan spaces of different dimensions. Differential equations involving the new derivatives are solved. Illustrative examples are presented to check the details. View Full-Text
Keywords: Fη-calculus; staircase function; Cantor tartan; fractional differential equation Fη-calculus; staircase function; Cantor tartan; fractional differential equation
Show Figures

Figure 1

MDPI and ACS Style

Golmankhaneh, A.K.; Fernandez, A. Fractal Calculus of Functions on Cantor Tartan Spaces. Fractal Fract 2018, 2, 30.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop