A special Green function for steady-state fractional differential equations with nonlocal boundary condition

Karaaslan M. F.

5th International Online Conference on Mathematics "An İstanbul Meeting for World Mathematicians", İstanbul, Türkiye, 1 - 03 Aralık 2021, ss.11

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.11
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, we consider steady-state fractional convection-diffusion equation with nonlocal boundary condition. Here, the highest-order derivative is taken as Caputo fractional derivative with order of 1<\gamma<2. An explicit formula for the associated Green’s function is given in terms of two parameter Mittag-Leffler functions.