On the ε-regular mild solution for fractional abstract integro-differential equations

2023/10/04 by J. Vanterler C. Sousa, Sousa, J. Vanterler C., M. Aurora P. Pulido +5
Mathematics · #34A08 #34A12 #35B65 #Differential Equations and Boundary Problems #FOS: Mathematics #Fixed Point Theorems Analysis #General Mathematics (math.GM) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2310.05977

openalex publication_date 2023/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this present paper, we first obtained some estimates involving parts of ε-regular mild solutions of the fractional integro-differential equation. In this sense, through these preliminary results, we investigate the main results of this paper, i.e., the existence, regularity and continuous dependence of ε-regular mild solutions for fractional abstract integro-differential equations in Banach space.

Related

• A new class of mild and strong solutions of integro-differential equation of arbitrary order in Banach space
• Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
• Mild and classical solutions for fractional evolution differential equation
• A note on the mild solutions of Hilfer impulsive fractional differential equations
• Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem