Approximate solution of time fractional Helmholtz andcoupled Helmhotz equations

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Bayrak M. A., Tetik S.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.11, sa.4, 2020 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The approximate analytical solution of the time-fractional Helmholtz and coupledHelmholtz equations have been acquired successfully viaResidual Power Series Method(RPSM).The approximate solutions obtained by RPSM are compared with the exact solutions through differentgraphics and tables. The fractional derivatives are described in the Caputo sense. The numericalresults demonstrate that the new method is quite accurate and readily implemented