The traditional interpolation techniques generate smooth or piecewise differentiable
interpolation function, despite the data points being irregular. Nevertheless, most of the …

In this paper, fractal calculus, which is called F α-calculus, is reviewed. Fractal calculus is
implemented on fractal interpolation functions and Weierstrass functions, which may be non …

Most books on fractals focus on deterministic fractals as the impact of incorporating
randomness and time is almost absent. Further, most review fractals without explaining what …

In this paper, we mainly investigate continuous functions with unbounded variation on
closed intervals. Given the increasing number of proposals and definitions of different kinds …

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 …

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 …

In this paper, we investigate partial integrals and partial derivatives of bivariate fractal
interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional …

This paper examines the integral transform of fractal interpolation functions with function
scaling factors. Initially, the integral transform of quadratic fractal interpolation function …

We propose a dynamical model using traveling wave transformations from a three-
component magnetized collisionless homogeneous plasma consisting of hot protons, hot …