Work

Fractional Calculus for Type 2 Interval-Valued Functions

Year: 2025

Type: article

Abstract: This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness. In this paper, a Riemann–Liouville fractional-order integral is constructed in Type 2 interval delineated vague encompassment. The exploration of fractional calculus is continued with the manifestation of Riemann–Liouville and Caputo fractional derivatives in the cited phenomenon. In addition, Type 2 interval Laplace transformation is proposed in this text. Conclusively, a mathematical model regarding economic lot maintenance is analyzed as a conceivable implementation of this theoretical advancement.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9020102

Authors: Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal

Institutions: Mohan Babu University, Virginia Military Institute, Maulana Abul Kalam Azad University of Technology, West Bengal, Indian Institute of Engineering Science and Technology, Shibpur, Piri Reis University, Bahçeşehir University, Okan University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W4407226248

FWCI: 9.128

Cites: 73

Cited by: 11

Related to: 10