Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, , 12 - 28, 31.01.2024
https://doi.org/10.33773/jum.1335668

Öz

Kaynakça

  • F. Jarad, E. Ugurlu, T. Abdeljawad, D. Baleanu, On A New Class Of Fractional Operators, Advance in Difference Equations, Vol.247 (2017).
  • K. Diethelm, The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, (2010).
  • R. Hilfer, Applications of Fractional Calculus in Physics, Word Scientific, Singapore, (2000).
  • A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Application of Fractional Differential Equations, North-Holland Matematics Studies, Vol.204 (2006).
  • R.L. Magin, Fractional Calculus in Bioengineering, Begell House Publishers, Redding, (2006).
  • I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, (1999).
  • S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon, (1993).
  • U.N. Katugampola, New Approach To Generalized Fractional Integral, Appl. Math. Comput., Vol.218, pp.860-865, (2011).
  • U.N Katugampola, A New Approach To Generalized Fractional Derivatives, Bull. Math. Anal. Appl., Vol.6, pp.1-15, (2014).
  • T. Abdeljawad, On Conformable Fractional Calculus, J.Comput. Appl. Math., Vol.279, pp.57-66, (2015).
  • A.A Kilbas, Hadamard Type Fractional Calculus, J. Korean Math. Soc. Vol.38, pp.1191-1204, (2001).
  • Y.Y. Gambo, F. Jarad, T. Abdeljawad, D. Baleanu, On Caputo Modification Of The Hadamard Fractional Derivate, Adv. Differ.Equ., Vol.10, (2014).
  • F. Jarad, T. Abdeljawad, D. Baleanu, Caputo-Type Modification Of The Hadamard Fractional Derivative, Adv. Differ. Equ., Vol.142 (2012).
  • Y. Adjabi, F. Jarad, D. Baleanu, T. Abdeljawad, On Cauchy Problems With Caputo Hadamard Fractional Derivatives, J.Comput. Anal. Appl., Vol.21, No.1, pp.661-681 (2016).
  • F. Jarad, T. Abdeljawad, D. Baleanu, On The Generalized Fractional Derivatives And Their Caputo Modification, J., Nonlinear Sci. Appl., Vol.10, No.5, pp.2607-2619 (2017).
  • H. Yıldırım, Z. Kırtay, Ostrowski Inequality for Generalized Fractional Integral and Related Inequalities, Malaya Journal of Matematik, Vol.2, No.3, pp.322-329 (2014).

ON k-CONFORMABLE FRACTIONAL OPERATORS

Yıl 2024, , 12 - 28, 31.01.2024
https://doi.org/10.33773/jum.1335668

Öz

In this study, we define the left and right fractional kconformable
integrals and derivatives. Furthermore, we obtained the fractional kconformable
derivatives of functions associated with some spaces and express their properties.

Kaynakça

  • F. Jarad, E. Ugurlu, T. Abdeljawad, D. Baleanu, On A New Class Of Fractional Operators, Advance in Difference Equations, Vol.247 (2017).
  • K. Diethelm, The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, (2010).
  • R. Hilfer, Applications of Fractional Calculus in Physics, Word Scientific, Singapore, (2000).
  • A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Application of Fractional Differential Equations, North-Holland Matematics Studies, Vol.204 (2006).
  • R.L. Magin, Fractional Calculus in Bioengineering, Begell House Publishers, Redding, (2006).
  • I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, (1999).
  • S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon, (1993).
  • U.N. Katugampola, New Approach To Generalized Fractional Integral, Appl. Math. Comput., Vol.218, pp.860-865, (2011).
  • U.N Katugampola, A New Approach To Generalized Fractional Derivatives, Bull. Math. Anal. Appl., Vol.6, pp.1-15, (2014).
  • T. Abdeljawad, On Conformable Fractional Calculus, J.Comput. Appl. Math., Vol.279, pp.57-66, (2015).
  • A.A Kilbas, Hadamard Type Fractional Calculus, J. Korean Math. Soc. Vol.38, pp.1191-1204, (2001).
  • Y.Y. Gambo, F. Jarad, T. Abdeljawad, D. Baleanu, On Caputo Modification Of The Hadamard Fractional Derivate, Adv. Differ.Equ., Vol.10, (2014).
  • F. Jarad, T. Abdeljawad, D. Baleanu, Caputo-Type Modification Of The Hadamard Fractional Derivative, Adv. Differ. Equ., Vol.142 (2012).
  • Y. Adjabi, F. Jarad, D. Baleanu, T. Abdeljawad, On Cauchy Problems With Caputo Hadamard Fractional Derivatives, J.Comput. Anal. Appl., Vol.21, No.1, pp.661-681 (2016).
  • F. Jarad, T. Abdeljawad, D. Baleanu, On The Generalized Fractional Derivatives And Their Caputo Modification, J., Nonlinear Sci. Appl., Vol.10, No.5, pp.2607-2619 (2017).
  • H. Yıldırım, Z. Kırtay, Ostrowski Inequality for Generalized Fractional Integral and Related Inequalities, Malaya Journal of Matematik, Vol.2, No.3, pp.322-329 (2014).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Temel Matematik (Diğer)
Bölüm Araştırma Makalesi
Yazarlar

Sümeyye Ermeydan Çiriş 0009-0000-2472-5311

Huseyin Yıldırım 0000-0001-8855-9260

Yayımlanma Tarihi 31 Ocak 2024
Gönderilme Tarihi 9 Ağustos 2023
Kabul Tarihi 14 Aralık 2023
Yayımlandığı Sayı Yıl 2024

Kaynak Göster

APA Ermeydan Çiriş, S., & Yıldırım, H. (2024). ON k-CONFORMABLE FRACTIONAL OPERATORS. Journal of Universal Mathematics, 7(1), 12-28. https://doi.org/10.33773/jum.1335668
AMA Ermeydan Çiriş S, Yıldırım H. ON k-CONFORMABLE FRACTIONAL OPERATORS. JUM. Ocak 2024;7(1):12-28. doi:10.33773/jum.1335668
Chicago Ermeydan Çiriş, Sümeyye, ve Huseyin Yıldırım. “ON K-CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics 7, sy. 1 (Ocak 2024): 12-28. https://doi.org/10.33773/jum.1335668.
EndNote Ermeydan Çiriş S, Yıldırım H (01 Ocak 2024) ON k-CONFORMABLE FRACTIONAL OPERATORS. Journal of Universal Mathematics 7 1 12–28.
IEEE S. Ermeydan Çiriş ve H. Yıldırım, “ON k-CONFORMABLE FRACTIONAL OPERATORS”, JUM, c. 7, sy. 1, ss. 12–28, 2024, doi: 10.33773/jum.1335668.
ISNAD Ermeydan Çiriş, Sümeyye - Yıldırım, Huseyin. “ON K-CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics 7/1 (Ocak 2024), 12-28. https://doi.org/10.33773/jum.1335668.
JAMA Ermeydan Çiriş S, Yıldırım H. ON k-CONFORMABLE FRACTIONAL OPERATORS. JUM. 2024;7:12–28.
MLA Ermeydan Çiriş, Sümeyye ve Huseyin Yıldırım. “ON K-CONFORMABLE FRACTIONAL OPERATORS”. Journal of Universal Mathematics, c. 7, sy. 1, 2024, ss. 12-28, doi:10.33773/jum.1335668.
Vancouver Ermeydan Çiriş S, Yıldırım H. ON k-CONFORMABLE FRACTIONAL OPERATORS. JUM. 2024;7(1):12-28.