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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2020 / Cilt: 38 - Sayı: 2

THE LOCAL GENERALIZED DERIVATIVE AND MITTAG-LEFFLER FUNCTION

Juan E. Nápoles VALDES
Paulo M. GUZMÁN
Luciano M. LUGO
Artion KASHURI
Sayfa
1007–1017
Yayın Tarihi
2021-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some methodological remarks on the local fractional derivatives are also presented.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we present a general definition of a generalized derivative of local type using the well known Mittag-Leffler function.
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Temel Bulgular & Veri:In this paper, we present a general definition of a generalized derivative of local type using the well known Mittag-Leffler function.
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Sonuç & Katkı:Some methodological remarks on the local fractional derivatives are also presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fractional calculus · Fractional · calculus

Abstract

In this paper, we present a general definition of a generalized derivative of local type using the well known Mittag-Leffler function. Some methodological remarks on the local fractional derivatives are also presented.

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Bu Makaleye Atıf Yap

VALDES, J. E. N., GUZMÁN, P. M., LUGO, L. M., KASHURI, A. (2021). THE LOCAL GENERALIZED DERIVATIVE AND MITTAG-LEFFLER FUNCTION. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 38 - Sayı: 2, 1007–1017. https://ajindex.com/articles/418966

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Kaynakça (16)

  1. Abdeljawad, T., (2015) On conformable fractional calculus. J. Comput. Appl. Math., 279, 57-66
  2. Agarwal, R. P., Benchohra, M. and Hamani, S. A., (2010) Survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions, Acta Appl. Math. 109, 973–1033
  3. Bonilla, B., Rivero, M. and Trujillo, J. J., (2007) On systems of linear fractional differential equations with constant coefficients, Appl. Math. Comput. 187, 68–78
  4. Boyce,W. E. and DiPrima, R. C., (1977) Elementary Diflerential Equations, John Wiley and Sons, New York
  5. Diethelm, K., (2010) The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type (Springer Science and Business Media)
  6. Deshpande, A. S., Daftardar-Gejji, V. and Vellaisamy, P., (2010) Analysis of intersections of trajectories of systems of linear fractional differential equations, Chaos 29, 013113; doi: 10.1063/1.5052067
  7. Diethelm, K., and Ford, N., (2012) Volterra integral equations and fractional calculus: Do neighboring solutions intersect?, J. Integral Equ. Appl. 24, 25–37
  8. Guzmán, P. M., Langton, G., Lugo, L. M., Medina, J. and Nápoles Valdés, J. E., (2018) A new definition of a fractional derivative of local type. J. Math. Anal., 9:2, 88-98
  9. Guzmán, P. M., Lugo Motta Bittencurt, L. M. and Nápoles Valdés, J. E., (2019) A Note on Stability of Certain Lienard Fractional Equation, International Journal of Mathematics and Computer Science, 14, no. 2, 301–315
  10. Chandra Har, K. Genesis of Calculus, available in
  11. Hayek, N., Trujillo, J., Rivero, M., Bonilla, B., and Moreno, J., (1998) An extension of Picard-Lindeloff theorem to fractional differential equations, Appl. Anal. 70, 347–361
  12. Khalil, R., Al Horani, M., Yousef, A., Sababheh, M., (2014) A new definition of fractional derivative. J. Comput. Appl. Math., 264, 65-70
  13. Kilbas, A., Srivastava, H. and Trujillo, J., (2006) Theory and Applications of Fractional Differential Equations, in Math. Studies, North-Holland, New York
  14. Miller, K. S., (1993) An Introduction to Fractional Calculus and Fractional Differential Equations, J. Wiley and Sons, New YorK
  15. Mukhopadhyay, S. N. and Bullen, P. S., (2012) Higher order derivatives, CRC Press Taylor & Francis Group
  16. Nápoles Valdés, J. E., Guzmán, P. M. and Lugo, L. M., (2018) Some New Results on Nonconformab