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

被引：0
作者：
Sousa, J. Vanterler C. [1 ]
Pulido, M. Aurora P. [2 ]
Govindaraj, V. [3 ]
de Oliveira, E. Capelas [2 ]
机构：
[1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, BR-09210580 Santo Andre, SP, Brazil
[2] IMECC State Univ Campinas, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
[3] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India
来源：
SOFT COMPUTING | 2023年 / 27卷 / 21期
关键词：
Fractional integro-differential equations; Existence; Regularity; Continuous dependence; e-Regular mild solutions; Interpolation-extrapolation scales; DIFFERENTIAL-EQUATIONS; CRITICAL NONLINEARITIES; PARABOLIC PROBLEMS; EVOLUTION MODEL; CAUCHY-PROBLEMS;
D O I：
10.1007/s00500-023-09172-y
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this present paper, we first obtained some estimates involving parts of e-regular mild solutions of the fractional integrodifferential 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 e-regular mild solutions for fractional abstract integro-differential equations in Banach space.
引用
收藏
页码：15533 / 15548
页数：16
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