Existence of Mild Solutions for Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators

Existence of Mild Solutions for Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators

This manuscript focuses on the existence of a mild solution Hilfer fractional neutral integro-differential inclusion with almost sectorial operator. By applying the facts related to fractional calculus, semigroup, and Martelli’s fixed point theorem, we prove the primary results. In addition, the app...

Full description

Bibliographic Details
Main Authors: Chandra Bose Sindhu Varun Bose, Ramalingam Udhayakumar
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Fractal and Fractional
Subjects:
Hilfer fractional system
neutral system
multi-valued maps
sectorial operators
Online Access:https://www.mdpi.com/2504-3110/6/9/532
Description
Summary:This manuscript focuses on the existence of a mild solution Hilfer fractional neutral integro-differential inclusion with almost sectorial operator. By applying the facts related to fractional calculus, semigroup, and Martelli’s fixed point theorem, we prove the primary results. In addition, the application is provided to demonstrate how the major results might be applied.
ISSN:2504-3110

Similar Items