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math.DS2025
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…
math.DS2023★ 2 cited
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…
math.DS2020★ 42 cited
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…