Mild Solutions for Fractional Impulsive Integro-Differential Evolution Equations with Nonlocal Conditions in Banach Spaces

被引：5

作者：

Li, Ye ^{[1
,2
]}

Qu, Biao ^{[1
]}

机构：

[1] Qufu Normal Univ, Inst Operat Res, Jining 273165, Peoples R China

[2] Shandong Womens Univ, Sch Data & Comp Sci, Jining 250062, Peoples R China

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 08期

基金：

美国国家科学基金会;

关键词：

fractional impulsive integro-differential evolution equations; fixed point; measure of noncompactness; existence; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; GLOBAL EXISTENCE; ORDER;

D O I：

10.3390/sym14081655

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, by using the cosine family theory, measure of non-compactness, the Monch fixed point theorem and the method of estimate step by step, we establish the existence theorems of mild solutions for fractional impulsive integro-differential evolution equations of order 1 <beta <= 2 with nonlocal conditions in Banach spaces under some weaker conditions. The results obtained herein generalizes and improves some known results. Finally, an example is presented for the demonstration of obtained results.

引用

页数：14

共 50 条

[21] Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions [J].

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Sharifov, Y. A. ;

Aliyev, H. N. .

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02) :726-735

[22] Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces [J].

Cardinali, Tiziana ;

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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) :871-879

[23] Nonlinear functional integro differential evolution equations with nonlocal conditions in Banach spaces [J].

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[24] A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces [J].

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[25] Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay [J].

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[26] Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay [J].

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[27] Approximation of mild solution of the delay fractional integro-differential equations on the Banach spaces [J].

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[28] On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions [J].

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Alsaedi, Ahmed ;

Agarwal, Ravi P. ;

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[29] Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations [J].

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Jia, Xiumei .

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[30] Controllability of Impulsive Fractional Integro-Differential Evolution Equations [J].

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