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

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Tarih

2024

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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 Değeri

Q2

Scopus Q Değeri

Q3

Cilt

115

Sayı

3

Künye