Solving Some Integral and Fractional Differential Equations via Neutrosophic Pentagonal Metric Space

Abstract

In this paper, we first introduce the notion of neutrosophic pentagonal metric space. We prove several interesting results for some classes contraction mappings and prove some fixed point theorems in neutrosophic pentagonal metric space. Finally, we prove the uniqueness and existence of the integral equation and fractional differential equation to support our main result.

Keywords

• neutrosophic metric space
• neutrosophic pentagonal metric space
• fixed point results
• integral equation
• fractional differential equation