42 citations · 44 across the 5 of their papers we have counts for
5 papers
Set-Valued Riemann-Liouville integral and some Regular Selections
Subhash Chandra, Syed Abbas
In this article, we introduce the notion of the Riemann-Liouville fractional integral of set-valued mappings via integrable selections. We establish fundamental properties of this…
Construction of Fractal Functions Using Kannan Mappings and Smoothness Analysis
Subhash Chandra, Saurabh Verma, Syed Abbas
Let T be a self-map on a metric space (X, d). Then T is called the Kannan map if there exists α, 0 < α< 1/2, such that d(T(x), T(y)) <= α[d(x, T(x)) + d(y, T(y))], for all x, y in…
Analysis of Fractal Dimension of Mixed Riemann-Liouville Fractional Integral
Subhash Chandra, Syed Abbas
In this article, we investigate the fractal dimension of the graph of the mixed Riemann-Liouville fractional integral for various choice of continuous functions on a rectangular re…
Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions
Subhash Chandra, Syed Abbas
The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0; 1]X[0; 1]. We prove that the box…
The Calculus Of Bivariate Fractal Interpolation Surfaces
Subhash Chandra, Syed Abbas
In this article, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions. We prove also that the mixed Riemann-Liouville fractional in…