3 papers
math.FA2026
On the Set-Valued Katugampola Fractional Integral: Properties and Regular Selections
Parneet Kaur, Rattan Lal, Ankit Kumar
In this paper, we develop a theory of generalized fractional integration for set-valued mappings for the Katugampola fractional integral, which unifies the classical Riemann-Liouvi…
math.FA2025
Some Analytical Properties of Multivariate Fractal Functions in Lebesgue Spaces
Kiran Rani, Rattan Lal
In this article, we focus on the construction of multivariate fractal functions in Lebesgue spaces along with some properties of associated fractal operator. First, we give a detai…
math.FA2025
Set-Valued Fractal Approximation for Countable Data Sets
Parneet Kaur, Rattan Lal, Ankit Kumar +1
Fractal geometry deals mainly with irregularity and captures the complexity of a structure or phenomenon. In this article, we focus on the approximation of set-valued functions usi…