Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation

Abstract

Abstract This paper aims to deal with the Cauchy problem of a fractional Lorentz force equation. By the methods of reducing and topological degree in cone, the existence and multiplicity of solutions to the problem were obtained, which extend and enrich some previous results.

Keywords

• Fractional Lorentz force equation
• Cauchy problem
• Fixed point
• Existence
• Multiplicity