An Application to Nonlinear Fractional Differential Equation via α -Γ F -Fuzzy Contractive Mappings in a Fuzzy Metric Space

Uma Devi Patel () and Stojan Radenović
Additional contact information
Uma Devi Patel: Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Mathematics, 2022, vol. 10, issue 16, 1-14

Abstract: In this paper, we first introduce a new family of functions like an implicit function called Γ -functions. Furthermore, we introduce a new concept of α - Γ F -fuzzy contractive mappings, which is weaker than the class of fuzzy F -contractive mappings. Then, the existence and uniqueness of the fixed point are established for a new type of fuzzy contractive mappings in the setting of fuzzy metric spaces. Moreover, some examples and an application to nonlinear fractional differential equation are given, and these show the importance of the introduced theorems in fuzzy settings.

Keywords: fixed points; ? - ? -? F -fuzzy contractive map; ? -? F -fuzzy contractive map; ? -admissible; nonlinear fractional differential equation; fuzzy metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/16/2831/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/16/2831/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:16:p:2831-:d:883936

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().