Fractional Calculus for Type 2 Interval-Valued Functions

Fractional Calculus for Type 2 Interval-Valued Functions

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 integ...

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Bibliographic Details
Main Authors: Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Fractal and Fractional
Subjects:
Riemann–Liouville fractional integration
Riemann–Liouville fractional derivative
Caputo fractional derivative
Laplace transformation
fractional calculus under uncertainty
EPQ model
Online Access:https://www.mdpi.com/2504-3110/9/2/102
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Summary: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.
ISSN:2504-3110

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