NONLINEAR NONLOCAL ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE

被引：1
作者：
Liang, Jin [1 ]
Mu, Yunyi [2 ]
Xiao, Ti-jun [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Shanghai Dianji Univ, Sch Arts & Sci, Shanghai 201306, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
基金：
中国国家自然科学基金;
关键词：
Nonlinear; psi-Caputo fractional derivative; integro-differential; nonlocal; Darbo-type theorem; solvability; DIFFERENTIAL-EQUATIONS; KNASTER-KURATOWSKI; THEOREM; EXISTENCE; MAPPINGS; RESPECT; SPACES;
D O I：
10.3934/dcdss.2024205
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. In this paper, we investigate the nonlocal Cauchy problem for a class of nonlinear fractional V)-Caputo integro-differential equations of Sobolev type in Banach spaces. We first establish some new Darbo-type fixed point theorems, and then we present a solvability theorem for the nonlocal Cauchy problem for such nonlinear fractional equations of Sobolev type with the help of the new Darbo-type fixed point theorems. Moreover, we illustrate the applicability of our theoretical results with two examples.
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页数：21
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