NUMERICAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS VIA LAPLACE TRANSFORM

Cetinkaya S., Demir A.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.36, sa.2, ss.249-257, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22190/fumi200428019c
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.249-257
  • Anahtar Kelimeler: differential equations, Laplace transform, Fractional derivatives and integrals, Functional-differential equations, ANALYTIC SOLUTION, DIFFUSION EQUATION
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, solutions of time-space fractional partial differential equations (FPDEs) are obtained by utilizing the Laplace transform iterative method. The utility of the technique is shown by getting numerical solutions of various FPDEs.