Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-07-07 DOI:10.1515/ijnsns-2021-0368

M. Mohan Raja, V. Vijayakumar, A. Shukla, K. Nisar, S. Rezapour

引用次数: 2

Abstract

Abstract This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli’s fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.

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研究了Banach空间中阶r∈(1,2)的分数阶演化内含物的存在性结果

研究了Banach空间中阶r∈(1,2)的分数阶微分演化包含的存在性结果问题。首先，我们从分数计算、余弦族、多值函数和Martelli不动点定理等方面分析了存在性结果。该结果还用于研究r∈(1,2)阶的非局部分数进化包含的存在性。最后，给出了一个具体应用来说明我们的主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.