ON LIE GROUP ANALYSIS OF BOUNDARY VALUE PROBLEM WITH CAPUTO FRACTIONAL DERIVATIVE

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İskenderoğlu G., Kaya D.

Sigma Journal of Engineering and Natural Sciences, cilt.10, ss.369-376, 2019 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10
  • Basım Tarihi: 2019
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.369-376
  • Anahtar Kelimeler: Lie group method, Caputo type fractional derivative, boundary value problem
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

Lie symmetry analysis of initial and boundary value problem for partial differential equations with Caputo fractional derivative is investigated. Also given generalized definition and theorem for symmetry method for partial differential equation with Caputo fractional derivative. The group symmetries and examples on reduction of fractional partial differential equations with initial and boundary conditions to nonlinear ordinary differential equations with initial condition are present.