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 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.
Authors
- Sankar Prasad Mondal (ORCID: https://orcid.org/0000-0003-4690-2598)
- Mostafijur Rahaman (ORCID: https://orcid.org/0000-0002-5513-4095)
- Shariful Alam (ORCID: https://orcid.org/0000-0001-8263-117X)
- Dimplekumar Navinchandra Chalishajar (ORCID: https://orcid.org/0000-0002-6146-5544)
- Kamal Hossain Gazi (ORCID: https://orcid.org/0000-0001-7179-984X)
- Soheil Salahshour (ORCID: https://orcid.org/0000-0003-1390-3551)
Institutions
- Piri Reis University (TR)
- Bahçeşehir University (TR)
- Virginia Military Institute (US)
- Okan University (TR)
- Indian Institute of Engineering Science and Technology, Shibpur (IN)
- Maulana Abul Kalam Azad University of Technology, West Bengal (IN)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-02-05
- DOI
- https://doi.org/10.3390/fractalfract9020102
- Citations
- 5
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 18.64