Boundary value problems for fractional differential equation with causal operators

Abstract

In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results.

Keywords

• fractional differential equation
• causal operator
• boundary value problems
• lower and upper solution
• extremal solution and quasisolutions.
• 34b15
• 34a45