The boundary value problem for an ordinary linear half-order differential equation
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Dosyalar
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
E.A. Buketov Karaganda University Publish House
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This 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.
Açıklama
Anahtar Kelimeler
Basic Relation, Boundary Value Problem, Fredholm Property, Fundamental Solution, General Solution of a Homogeneous Half-Order Equation, Half-Order Equations, Integral Equations, Mittag-Leffler Functions
Kaynak
Bulletin of the Karaganda University-Mathematics Series
WoS Q DeÄŸeri
Q2
Scopus Q DeÄŸeri
Q3
Cilt
115
Sayı
3
