The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions

Basit Öğe Kaydı
dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorEidinejad, Zahra
dc.contributor.authorSaadati, Reza
dc.contributor.authorVahidi, Javad
dc.contributor.authorLi, Chenkuan
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-16T20:03:37Z
dc.date.available2025-04-16T20:03:37Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractIn this paper, we investigate the fractional hybrid integro-differential equations with Dirichlet boundary conditions. We first prove the existence of a unique solution for the equation using a fixed point technique. Our main goal is to obtain the best approximation using optimal controllers. After studying the stability, we present the reproducing kernel Hilbert space numerical method to obtain approximate solutions to the equation. We finally conclude with numerical results. © The Author(s) 2024.
dc.identifier.citationEidinejad, Z., Saadati, R., Vahidi, J., Li, C., & Allahviranloo, T. (2024). The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions. Boundary Value Problems, 2024(1), 120.
dc.identifier.doi10.1186/s13661-024-01928-1
dc.identifier.issn16872762
dc.identifier.issue1
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1186/s13661-024-01928-1
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6064
dc.identifier.volume2024
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject34A08
dc.subject35Q92
dc.subject35R11
dc.subject46E22
dc.subject92C32
dc.subjectExistence of a unique solution
dc.subjectFractional hybrid integro-differential equations
dc.subjectOptimal control function
dc.subjectReproducing kernel Hilbert space method
dc.subjectStability
dc.titleThe existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
The-existence-of-a-unique-solution-and-stability-results-with-numerical-solutions-for-the-fractional-hybrid-integrodifferential-equations-with-Dirichlet-boundary-conditionsBoundary-Value-Problems.pdf
Boyut:
1.86 MB
Biçim:
Adobe Portable Document Format
İndir
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