Araştırma Makalesi

ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS

Cilt: 8 Sayı: 1 31 Ocak 2025
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EN

ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS

Öz

In this paper, we introduce the concepts of left and right generalized conformable fractional integrals, alongside the corresponding derivatives. Additionally, we extend our investigation to derive the generalized conformable derivatives for functions within specific spaces, elucidating their inherent properties.

Anahtar Kelimeler

Kaynakça

  1. F. Jarad, E. Ugurlu, T. Abdeljawad, D. Baleanu, On a new class of fractional operators, Advance in Di_erence Equations, Vol.247, (2017).
  2. K. Diethelm, The Analysis of Fractional Di_erential Equations, Lecture Notes in Mathematics, (2010).
  3. R. Hilfer, Applications of Fractional Calculus in Physics, Word Scienti_c, Singapore, (2000).
  4. A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Application of Fractional Differential Equations, North-Holland Matematics Studies, Vol. 204 (2006).
  5. R.L. Magin, Fractional Calculus in Bioengineering, Begell House Publishers, Redding, (2006).
  6. I. Podlubny, Fractional Di_erential Equations, Academic Press, San Diego, (1999).
  7. S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon & Breach, Yverdon, (1993).
  8. U.N. Katugampola, New approach to generalized fractional integral, Appl. Math. Comput., Vol.218, pp.860-865, (2011).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Operatör Cebirleri ve Fonksiyonel Analiz

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ocak 2025

Gönderilme Tarihi

24 Haziran 2024

Kabul Tarihi

28 Ocak 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 8 Sayı: 1

Kaynak Göster

APA
Ermeydan Çiriş, S., & Yıldırım, H. (2025). ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS. Journal of Universal Mathematics, 8(1), 1-19. https://doi.org/10.33773/jum.1501013
AMA
1.Ermeydan Çiriş S, Yıldırım H. ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS. JUM. 2025;8(1):1-19. doi:10.33773/jum.1501013
Chicago
Ermeydan Çiriş, Sümeyye, ve Huseyin Yıldırım. 2025. “ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics 8 (1): 1-19. https://doi.org/10.33773/jum.1501013.
EndNote
Ermeydan Çiriş S, Yıldırım H (01 Ocak 2025) ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS. Journal of Universal Mathematics 8 1 1–19.
IEEE
[1]S. Ermeydan Çiriş ve H. Yıldırım, “ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS”, JUM, c. 8, sy 1, ss. 1–19, Oca. 2025, doi: 10.33773/jum.1501013.
ISNAD
Ermeydan Çiriş, Sümeyye - Yıldırım, Huseyin. “ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics 8/1 (01 Ocak 2025): 1-19. https://doi.org/10.33773/jum.1501013.
JAMA
1.Ermeydan Çiriş S, Yıldırım H. ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS. JUM. 2025;8:1–19.
MLA
Ermeydan Çiriş, Sümeyye, ve Huseyin Yıldırım. “ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics, c. 8, sy 1, Ocak 2025, ss. 1-19, doi:10.33773/jum.1501013.
Vancouver
1.Sümeyye Ermeydan Çiriş, Huseyin Yıldırım. ON GENERALIZED CONFORMABLE FRACTIONAL OPERATORS. JUM. 01 Ocak 2025;8(1):1-19. doi:10.33773/jum.1501013