Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Mohammad Shahriari

Makale detayları

Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Yazarlar:

Mohammad Shahriari

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.753-767

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290009

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order alpha, 0.5  alphaleq 1 and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Halds theorem for conformable Sturm-Liouville problem is developed.

 In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order alpha, 0.5  alphaleq 1 and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Halds theorem for conformable Sturm-Liouville problem is developed.

 In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order alpha, 0.5  alphaleq 1 and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Halds theorem for conformable Sturm-Liouville problem is developed.

 In this paper, we study the inverse problem for Sturm-Liouville problem with conformable fractional differential operators of order alpha, 0.5  alphaleq 1 and finite number of interior discontinuous conditions. For this aim first, the asymptotic formulas for solutions, eigenvalues and eigenfunctions of the problem are calculated. Then some uniqueness theorems for proposed inverse eigenvalue problem are proved. Finally, the Halds theorem for conformable Sturm-Liouville problem is developed.

Makale detayları

Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Yazarlar:

Mohammad Shahriari

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.753-767

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290009

pISSN:

2651-477X

Inverse second order differential problem

conformable fractional derivative

transmission conditions

Weyl function

asymptotic solutions

Sayı

Makale detayları

Inverse Sturm-Liouville problem with conformable derivative and transmission conditions

Yazarlar: Mohammad Shahriari

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.753-767

Belge Tipi: Makale

Yayın Tarihi: 5/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001290009

pISSN: 2651-477X

Inverse second order differential problem

conformable fractional derivative

transmission conditions

Weyl function

asymptotic solutions

Sayı

Yazarlar:

Mohammad Shahriari

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.753-767

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290009

pISSN:

2651-477X