A NEW APPROACH FOR THE APPROXIMATE SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Bayrak M. A., Demir A.

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, cilt.16, sa.3, ss.193-215, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.21915/bimas.2021301
  • Dergi Adı: BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.193-215
  • Anahtar Kelimeler: Residual power series method, space-time fractional integro-differential equations, Caputo derivative
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, the construction of the analytical solutions of space-time fractional integro-differential equations are studied. We first transform the space-time fractional integro-differential equations into space-time fractional differential equations by means of new transformations then construct the solutions via residual power series method (RPSM). Finally, we give some examples to illustrate how powerful and effective the method is.