Many phenomena in physics and engineering have fractal structures; then analysis on them
has a vital role in the application. In this chapter, we present some frameworks of analysis on …

The C η-Calculus includes functions on fractal sets, which are not differentiable or integrable
using ordinary calculus. Sumudu transforms have an important role in control engineering …

In this paper, we give difference equations on fractal sets and their corresponding fractal
differential equations. An analogue of the classical Euler method in fractal calculus is …

In this paper, we give a review of fractal calculus which is an expansion of standard calculus.
Fractal calculus is applied for functions that are not differentiable or integrable on totally …

In this manuscript, we review fractal calculus and the analogues of both local Fourier
transform with its related properties and Fourier convolution theorem are proposed with …

In this paper, we introduce the concept of fractal random variables and their related
distribution functions and statistical properties. Fractal calculus is a generalisation of …

This article is devoted to propose and investigate the fractal battery discharging model,
which is one of the well-known models with a memory effect. It is presented as to how non …

In this paper, we summarize the local fractal calculus, called F^ α F α-calculus, which defines
derivatives and integrals of functions with fractal domains of non-integer dimensions …

In this paper, we develop fractal calculus by defining improper fractal integrals and their
convergence and divergence conditions with related tests and by providing examples. Using …

In this article, we review fractal calculus (F α-calculus) and define generalized Tsallis
entropy on the fractal sets which is called fractal Tsallis entropy. We define q-fractal calculus …