Work

Existence of Mild Solutions for Fractional Integrodifferential Equations with Hilfer Derivatives

Year: 2025

Type: article

Abstract: In this paper, we study the existence of solutions for fractional integrodifferential equations with Hilfer derivatives. We establish some new existence theorems for mild solutions by using Schaefer’s fixed-point theorem, a measure of noncompactness, and the resolvent operators associated with almost sectorial operators. Our results improve and extend many known results in the relevant references by removing some strong assumptions. Furthermore, we propose new nonlocal initial conditions for Hilfer evolution equations and study the existence of mild solutions to nonlocal problems.

Source: Mathematics

DOI: 10.3390/math13091369

Authors: Mian Zhou, Yong Zhou

Institution: Macau University of Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Fundo para o Desenvolvimento das Ciências e da Tecnologia