The boundary value problem for an ordinary linear half-order differential equation

Basit Öğe Kaydı
dc.contributor.authorAliyev, Nihan
dc.contributor.authorRasulov, Mahir
dc.contributor.authorSinsoysal, Bahaddin
dc.date.accessioned2024-10-24T05:32:27Z
dc.date.available2024-10-24T05:32:27Z
dc.date.issued2024
dc.departmentEnstitüler, Lisansüstü Eğitim Enstitüsü, Bilgisayar Mühendisliği Ana Bilim Dalı
dc.description.abstractThis study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients. Using of the fundamental solution of the main part of the considered equation, we obtained the principal relations, from which we obtain the necessary conditions for the Fredholm property of the original problem. Further, using the Mittag-Leffler function, a general solution of the homogeneous equation is obtained. Finally, the problem under consideration is reduced to an integral Fredholm equation of the second kind with a non-singular kernel, i.e., the Fredholm property of the stated problem is proved.
dc.identifier.doi10.31489/2024M3/5-12
dc.identifier.endpage12
dc.identifier.issn2518-7929
dc.identifier.issn2663-5011
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85206474675
dc.identifier.scopusqualityQ3
dc.identifier.startpage5
dc.identifier.urihttps://doi.org/10.31489/2024M3/5-12
dc.identifier.urihttps://hdl.handle.net/11501/1542
dc.identifier.volume115
dc.identifier.wosWOS:001330178000002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorSinsoysal, Bahaddin
dc.institutionauthorid0000-0003-2926-2744
dc.language.isoen
dc.publisherE.A. Buketov Karaganda University Publish House
dc.relation.ispartofBulletin of the Karaganda University-Mathematics Series
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBasic Relation
dc.subjectBoundary Value Problem
dc.subjectFredholm Property
dc.subjectFundamental Solution
dc.subjectGeneral Solution of a Homogeneous Half-Order Equation
dc.subjectHalf-Order Equations
dc.subjectIntegral Equations
dc.subjectMittag-Leffler Functions
dc.titleThe boundary value problem for an ordinary linear half-order differential equation
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
Tam Metin / Full Text
Boyut:
351.3 KB
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 to upon submission
Açıklama:
İndir

Koleksiyon

Lisansüstü Eğitim Enstitüsü Diğer Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu