A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders

作者：Ahmad Bashir^*; Nieto Juan J; Alsaedi Ahmed

来源：Advances in Difference Equations, 2012, 54.

DOI：10.1186/1687-1847-2012-54

• Langevin equation
• fractional order
• inclusions
• nonlocal boundary conditions
• fixed point theorems

This article studies the existence of solutions for a three-point inclusion problem of Langevin equation with two fractional orders. Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and Colombo for lower semicontinuous multivalued maps, and a fixed point theorem for multivalued map due to Covitz and Nadler. An illustrative example is also presented. %26lt;br%26gt;Mathematical Subject Classification 2000: 26A33; 34A12; 34A40.

• 出版日期2012