Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense

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İSKENDEROĞLU G., KAYA D.

Chaos, Solitons and Fractals, cilt.134, 2020 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.chaos.2020.109684
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Lie group method, Fractional differential equation, Boundary value problem
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we study Lie symmetry analysis of initial and boundary value problems (IBVPs) for partial differential equations (PDE) with Caputo fractional derivative. According to Bluman's definition and theorem for the symmetry analysis of the PDE system, we determine the symmetries of the PDE with Caputo fractional derivative in general form and prove theorem for the above equation. We investigate the symmetry analysis of IBVP for a fractional diffusion and third-order fractional partial differential equation (FPDE). And as a result of applying the method, we get several solutions.