Applications of a Fixed Point Result for Solving Nonlinear Fractional and Integral Differential Equations

Abstract

In this article, we apply one fixed point theorem in the setting of b-metric-like spaces to prove the existence of solutions for one type of Caputo fractional differential equation as well as the existence of solutions for one integral equation created in mechanical engineering.

Keywords

• <i>b</i>-metric-like
• 0-<i>dbl</i>-complete
• <i>dbl</i>-continuous
• fixed point
• metric
• like-space