Controllability of fractional differential evolution equation of order ? ? (1, 2) with nonlocal conditions

被引：7

作者：

Hussain, Sadam ^{[1
]}

Sarwar, Muhammad ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Shah, Kamal ^{[1
]}

机构：

[1] Univ Malakand, Dept Math, Chakdara Dir L, Khyber Pakhtunk, Pakistan

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 06期

关键词：

controllability; fractional differential evolution equations; positive mild solution; fixed points; MILD SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3934/math.2023726

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order gamma is an element of (1, 2) with nonlocal conditions in Banach spaces. Our approach is based on Schauder's fixed point theorem, Krasnoselskii's fixed point theorem, and the Arzela-Ascoli theorem. Finally, we include an example to verify our theoretical results.

引用

页码：14188 / 14206

页数：19

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