The forward and inverse problems for a fractional boundary value problem

ABSTRACT

In this paper, the authors study the forward and inverse problems for a fractional boundary value problem with Dirichlet boundary conditions. The existence and uniqueness of solutions for the forward problem is first proved. Then an inverse source problem is considered.

Keywords:

• Fractional calculus
• boundary value problem
• inverse problem

AMS Subject Classifications:

• primary 34B27
• secondary 65L09

Notes

No potential conflict of interest was reported by the authors.