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, Turkey, 1 - 03 December 2021, pp.11

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.11
  • Yıldız Technical University Affiliated: Yes

Abstract

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.