This paper investigates the classical integral of various types of fractal interpolation functions
namely linear fractal interpolation function, α-fractal function and hidden variable fractal …

The calculus of the mixed Weyl–Marchaud fractional derivative has been investigated in this
paper. We prove that the mixed Weyl–Marchaud fractional derivative of bivariate fractal …

In this paper, we mainly investigate the geometric based relationship between the
Katugampola fractional calculus and a Weierstrass-type function whose graph can be …

Calculating fractal dimension of the graph of a function not simple even for real-valued
functions. While through this paper, our intention is to provide some initial theories for the …

Establishing the accurate relationship between fractional calculus and fractals is an
important research content of fractional calculus theory. In the present paper, we investigate …

The subject of this note is the mixed Katugampola fractional integral of a bivariate function
defined on a rectangular region in the Cartesian plane. This is a natural extension of the …

This article is a study on the (k, s)-Riemann–Liouville fractional integral, a generalization of
the Riemann–Liouville fractional integral. Firstly, we introduce several properties of the …

This chapter explores the Katugampola fractional integral of a multivariate vector-valued
function defined on. Alongside, it is shown that the prescribed fractional operator preserves …

The fractal technique is applied to study a wide variety of phenomena in the universe. In
particular, fractal techniques can be generalized through traditional approaches to spatial …

In the present paper, fractal dimension and properties of fractional calculus of certain
continuous functions have been investigated. Upper Box dimension of the Riemann …