We provide a rigorous study on dimensions of fractal interpolation functions defined on a
closed and bounded interval of R which are associated to a continuous function with respect …

The present paper aims to introduce a new concept of a non-stationary scheme for the so
called fractal functions. Here we work with a sequence of maps for the zipper iterated …

This research article deals with the fractal interpolation function and its box dimension
corresponding to a continuous function, defined on the Sierpiński gasket. This research also …

In this paper, the Weyl–Marchaud fractional derivative of various fractal interpolation
functions (FIFs) like linear FIF, quadratic FIF, hidden variable FIF and α-FIF is investigated …

This paper mainly investigates the Riemann–Liouville fractional integral of α α-fractal
function and fractional operator of α α-fractal function that maps the given continuous …

This chapter aims to establish the notion of non-stationary-fractal operator and establish
some approximations and convergence properties. More specifically, the approximations …

Constructions of the (global) fractal interpolation functions on standard function spaces got a
lot of attention in the last centuries. Motivated by the newly introduced local fractal functions …

This study interrogates the variable order fractional calculus of the non-linear fractal
interpolation function which is generalized to the case of constant order fractional calculus …

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 this article, we manifest the existence of a new class of α-fractal functions without endpoint
conditions in the space of continuous functions. Furthermore, we add the existence of the …