Investigate the solution of an initial Hilfer fractional value problem

Abstract

This paper aims to investigate sufficient criteria of the existence solution for a new category of nonlinear fractional differential equation under the Hilfer fractional derivative. The primary existence results are achieved by using a modified version of the Krasnoselskii-Dhage fixed-point theorem in the weighted Banach space. Finally, an application is illustrated to test the validity of the findings.

Keywords

Initial value problem / Hilfer fractional derivative / Fixed point theorem

Funding

None.

Conflict of interest

The authors declare no conflict of interest.

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