Uniqueness of Fractional Solution for the Fractional Electromagnetic Boundary Value Problem

The uniqueness of the fractional solution of fractional boundary value problem defined by designating the tangential electromagnetic components has been proved. It has been proven that the analytical expressions for the fractional electromagnetic fields E α , E* α , H α , and H* α do not vanish in any subregions Ω α o or Ω α - Ω α o . Furthermore, the unique solution makes E α = E* α and H α = and H* α without singular fields at same region of the space. This paper is generalization of works Ref. {2}, Ref. {3}, and Ref. {4} (Published in Chaos, Solitons & Fractals ). The new in this paper to investigate the uniqueness of the solution within using fractional calculus, which has not been studied previously