Araştırma Makalesi

SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES

Cilt: 4 Sayı: 1 31 Ocak 2021
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SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES

Öz

We study a self-adjoint conformable dynamic equation of second order on an arbitrary time scale $\mathbb{T}$. We state an existence and uniqueness theorem for the solutions of this equation. We prove the conformable Lagrange identity on time scales. Then, we consider a conformable eigenvalue problem generated by the above-mentioned dynamic equation of second order and we examine some of the spectral properties of this boundary value problem.

Anahtar Kelimeler

Kaynakça

  1. Referans1 T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics, 279(2015), 57-66.
  2. Referans2 M. Abu Hammad, R. Khalil, Abel's formula and Wronskian for conformable fractional differential equations, Internat. J. Diff. Equ. Appl., 13(2014), No. 3, 177-183.
  3. Referans3 M. Abu Hammad, R. Khalil, Conformable fractional heat differential equations, Internat. J. Pure Appl. Math., 94(2014), No. 2, 215-221.
  4. Referans4 H. Abu-Shaab, R. Khalil, Solution of some conformable fractional differential equations, Int. J. Pure Appl. Math., 103(2015), No. 4, 667-673.
  5. Referans5 M. J. Lazo, D. F. M. Torres, Variational calculus with conformable fractional derivatives, IEEE/CAA Journal of Automatica Sinica, 4(April 2017), No. 2.
  6. Referans6 W. Rosa, J. Weberspil, Dual conformable derivative:Definition, simple properties and perspectives for applications, Chaos, Solitons and Fractals, 117(2018), 137-141.
  7. Referans7 D. Anderson, R. I. Avery, Fractional-order boundary value problem with Sturm-Liouville boundary conditions, Electronic Journal of Differential Equations, 29(2015), 1-10.
  8. Referans8 H. Batarfi, J. Losada, J. J. Nieto, W. Shammakh, Three-point boundary value problems for conformable fractional differential equations, Journal of Function Spaces, Volume 2015, Article ID 706383, 6 pages, doi:10.1155/2015/706383.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Ocak 2021

Gönderilme Tarihi

28 Şubat 2020

Kabul Tarihi

20 Şubat 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 1

Kaynak Göster

APA
Ceylan, Z. (2021). SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES. Journal of Universal Mathematics, 4(1), 73-80. https://doi.org/10.33773/jum.695777
AMA
1.Ceylan Z. SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES. JUM. 2021;4(1):73-80. doi:10.33773/jum.695777
Chicago
Ceylan, Zeki. 2021. “SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES”. Journal of Universal Mathematics 4 (1): 73-80. https://doi.org/10.33773/jum.695777.
EndNote
Ceylan Z (01 Ocak 2021) SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES. Journal of Universal Mathematics 4 1 73–80.
IEEE
[1]Z. Ceylan, “SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES”, JUM, c. 4, sy 1, ss. 73–80, Oca. 2021, doi: 10.33773/jum.695777.
ISNAD
Ceylan, Zeki. “SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES”. Journal of Universal Mathematics 4/1 (01 Ocak 2021): 73-80. https://doi.org/10.33773/jum.695777.
JAMA
1.Ceylan Z. SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES. JUM. 2021;4:73–80.
MLA
Ceylan, Zeki. “SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES”. Journal of Universal Mathematics, c. 4, sy 1, Ocak 2021, ss. 73-80, doi:10.33773/jum.695777.
Vancouver
1.Zeki Ceylan. SPECTRAL PROPERTIES OF A CONFORMABLE BOUNDARY VALUE PROBLEM ON TIME SCALES. JUM. 01 Ocak 2021;4(1):73-80. doi:10.33773/jum.695777

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