Discussions on Sobolev type Neutral Nonlocal fractional differential equation

Abstract

The current study establishes neutral fractional differential equation (NFDE) of Sobolev with finite delay. The probability density function (PDF) and Fixed Point Technique (FPT) are used to demonstrate the existence of the equation with nonlocal circumstances. The fractional theory is used to illustrate the convergence. We then use approximation techniques to arrive at a unique result. We also provide an application for analyzing theoretical results.

Keywords

• Fractional calculus
• Fixed point techniques
• Sobolev type