Fuzzy Langevin fractional delay differential equations under granular derivative

Basit Öğe Kaydı
dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorMuhammad, Ghulam
dc.contributor.authorAkram, Muhammad
dc.contributor.authorHussain, Nawab
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-18T10:07:33Z
dc.date.available2025-04-18T10:07:33Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractAnalytical studies of the class of the fuzzy Langevin fractional delay differential equations (FLFDDEs) are frequently complex and challenging. It is necessary to construct an effective technique for the solution of FLFDDEs. This article presents an explicit analytical representation of the solution to the class of FLFDDEs with the general fractional orders under granular differentiability. The closed-form solution to the FLFDDEs is extracted for both the homogeneous and non-homogeneous cases using the Laplace transform technique and presented in terms of the delayed Mittag-Leffler type function with double infinite series. Moreover, the existence and uniqueness of the solutions of the FLFDDEs are investigated using the generalized contraction principle. An illustrative example is provided to support the proposed technique. To add to the originality of the presented work, the FLFDDEs with constant delay are solved by applying vibration theory and visualizing their graphs to support the theoretical results. © 2024 Elsevier Inc.
dc.identifier.citationMuhammad, G., Akram, M., Hussain, N., & Allahviranloo, T. (2024). Fuzzy Langevin fractional delay differential equations under granular derivative. Information Sciences, 681, 121250.
dc.identifier.doi10.1016/j.ins.2024.121250
dc.identifier.issn00200255
dc.identifier.scopus2-s2.0-85199675308
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1016/j.ins.2024.121250
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6950
dc.identifier.volume681
dc.identifier.wosWOS:001302715600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherElsevier Inc.
dc.relation.ispartofInformation Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCaputo Derivative
dc.subjectDelayed Type Mittag-Leffler Function
dc.subjectFuzzy Langevin Fractional Delay Differential Equations
dc.subjectGranular Differentiability
dc.subjectLaplace Transform
dc.titleFuzzy Langevin fractional delay differential equations under granular derivative
dc.typeArticle

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Yazılım Mühendisliği Bölümü Makale Koleksiyonu