Global attractivity for Volterra type Hadamard fractional integral equations in Fréchet spaces

Abstract

In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.

Keywords

• functional integral equation
• Hadamard integral of fractional order
• solution
• attractivity
• Fréchet space
• fixed point
• Primary 26A33
• Secondary 45G05
• 45M10