Existence and multiplicity of solutions of fractional differential equations on infinite intervals

Abstract

Abstract In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using monotone iteration, we identify two solutions, and the multiplicity of solutions is demonstrated by the Leggett–Williams fixed point theorem.

Keywords

• Fractional differential equation
• Infinite intervals
• Monotone iteration
• Leggett–Williams fixed point theorem