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Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2019 / Cilt: 9 - Sayı: 4

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

Mehmet Zeki SARIKAYA
Hüseyin BUDAK
FUAT USTA
Sayfa
792–799
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.
📊
Temel Bulgular & Veri:In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.
💡
Sonuç & Katkı:In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.

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Bu Makaleye Atıf Yap

SARIKAYA, M. Z., BUDAK, H., USTA, F. (2019). ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 9 - Sayı: 4, 792–799. https://ajindex.com/articles/327458

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Kaynakça (10)

  1. Abdeljawad, T (2015), On conformable fractional calculus, Journal of Computational and Applied Mathematics 279, pp. 57–66
  2. Anderson, D. R. (2016), Taylor’s formula and integral inequalities for conformable fractional derivatives, Contributions in Mathematics and Engineering, in Honor of Constantin Caratheodory, Springer, New York
  3. Hammad M. A. and Khalil R. (2014), Conformable fractional heat differential equations, International Journal of Differential Equations and Applications 13( 3), pp. 177-183
  4. Hammad M. A. and Khalil R. (2014), Abel’s formula and wronskian for conformable fractional differential equations, International Journal of Differential Equations and Applications 13(3), pp. 177-183
  5. Iyiola O.S.and Nwaeze E.R.(2016), Some new results on the new conformable fractional calculus with application using D’Alambert approach, Progr. Fract. Differ. Appl., 2(2), pp.115-122
  6. Khalil R., Al horani M., Yousef A. and Sababheh M.(2014), A new definition of fractional derivative, Journal of Computational Apllied Mathematics, 264, pp. 65-70
  7. Katugampola U.N. (2011), New approach to a generalized fractional integral, Appl. Math. Comput., 218(3), pp. 860–865
  8. Katugampola U.N. (2014), New approach to generalized fractional derivatives, B. Math. Anal. App., 6(4), pp. 1–15
  9. Kilbas A. A., Srivastava H.M. and Trujillo J.J. (2016), Theory and Applications of Fractional Differential Equations, Elsevier B.V., Amsterdam, Netherlands
  10. Samko, S.G., Kilbas, A.A. and Marichev, O.I. (1993), Fractional Integrals and Derivatives: Theory and Applications, Yverdon: Gordon and Breach.