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Dergiler / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 1

Numerical Solution of Riesz Fractional Differential Equation via Meshless Method

Merve İlkhan0000-0002-0831-1474
Emrah Evren Kara0000-0002-6398-4065
Fuat Usta0000-0002-7750-6910
Sayfa
94–96
Yayın Tarihi
2019-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We finally present the results of numerical experimentation to show that presented algorithm provide successful consequences.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we present the numerical solution of Riesz fractional differential equation with the help of meshless method.
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Temel Bulgular & Veri:In accordance with this purpose, we benefit the radial basis functions (RBFs) interpolation method and conformable fractional calculus.
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Sonuç & Katkı:We finally present the results of numerical experimentation to show that presented algorithm provide successful consequences.
🔬Tür:Konferans Bildirisi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Numerical solution · Fractional calculus · RBF interpolation

Abstract

In this study, we present the numerical solution of Riesz fractional differential equation with the help of meshless method. In accordance with this purpose, we benefit the radial basis functions (RBFs) interpolation method and conformable fractional calculus. We finally present the results of numerical experimentation to show that presented algorithm provide successful consequences.

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Bu Makaleye Atıf Yap

İlkhan, M., Kara, E. E., Usta, F. (2019). Numerical Solution of Riesz Fractional Differential Equation via Meshless Method. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 94–96. https://ajindex.com/articles/1648764

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Kaynakça (7)

  1. U. Katugampola, A new fractional derivative with classical properties, ArXiv:1410.6535v2.
  2. MD. Buhmann, Radial Basis Functions: Theory and Implementations, Cambridge University Press, 2003.
  3. W. Cheney and W. Light, A Course in Approximation Theory, William Allan, New York, 1999.
  4. Q. Yang., F. Liu, and I. Turner, Numerical methods for fractional partial differential equations with Riesz space fractional derivatives, Appl. Math. Modelling., 34(200-218) (2010).
  5. C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput., 93 (1998) 73-82.
  6. E. J. Kansa, Multiquadrics a scattered data approximation scheme with applications to computational filuid-dynamics. I. Surface approximations and partial derivative estimates, Comput. Math. Appl. 19(8-9) (1990) 127-145.
  7. C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput., 93 (1998) 73-82.