Results on controllability for Sobolev type fractional differential equations of order $ 1 &lt; r &lt; 2 $ with finite delay

Yong-Ki Ma; Marimuthu Mohan Raja; Kottakkaran Sooppy Nisar; Anurag Shukla; Velusamy Vijayakumar; Yong-Ki Ma; Marimuthu Mohan Raja; Kottakkaran Sooppy Nisar; Anurag Shukla; Velusamy Vijayakumar

doi:10.3934/math.2022568

AIMS Mathematics

2022, Volume 7, Issue 6: 10215-10233. doi: 10.3934/math.2022568

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Research article Special Issues

Results on controllability for Sobolev type fractional differential equations of order $1 < r < 2$ with finite delay

1.
Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea
2.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
3.
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
4.
Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj 209732, India

Received: 13 November 2021 Revised: 13 March 2022 Accepted: 15 March 2022 Published: 22 March 2022
MSC : 34A08, 26A33, 93B05, 46E36, 47D09

In this article, exact controllability results for Sobolev fractional delay differential system of $1 < r < 2$ are investigated. Fractional analysis, cosine and sine function operators, and Schauder's fixed point theorem are applied to verify the main results of this study. To begin, we use sufficient conditions to explore the controllability for fractional evolution differential system with finite delay. Lastly, an example is provided to illustrate the obtained theoretical results.

Keywords:

Citation: Yong-Ki Ma, Marimuthu Mohan Raja, Kottakkaran Sooppy Nisar, Anurag Shukla, Velusamy Vijayakumar. Results on controllability for Sobolev type fractional differential equations of order $1 < r < 2$ with finite delay[J]. AIMS Mathematics, 2022, 7(6): 10215-10233. doi: 10.3934/math.2022568

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Abstract

1. Journal summary from Editor in Chief

It is with admiration that we share with you our publication data for the 2022 calendar year for the AIMS Medical Science Journal. It was another successful year with the highest number of publication submissions to date over the past three years. Our depth and breadth of publications spanned multiple basic and clinical science disciplines that originated from talented authors across the globe. We look forward to an exciting year ahead and welcome the opportunity to review original manuscripts for consideration for publication in the journal. Our goals are to provide a forum of high-quality manuscripts that can positively impact the expansion of scientific knowledge and advance the health of our population.

2. Journal development

2.1. Manuscript statistics

Below is a graphic depiction of the manuscript submission and publication data for the journal for the past three years (Figure 1). There are slightly more submissions that were received in 2022 than in 2021, and the number of accepted and published manuscripts remain stable for the past three years. Our hope is increasing the footprint of quality manuscripts submitted to the journal that will translate into an increased number of high-quality publications for the upcoming year.

Figure 1. Manuscript statistics from 2020 to 2022.

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2022 manuscripts status:

Publications: 28

Reject rate: 71%

Publication time (from submission to online): 109 days

2.2. Corresponding authors distribution

The geographic distribution of the corresponding authors of the published manuscripts are depicted below (Figure 2). We are honored to attract authors from around the world who chose to submit their research to the journal for publication (USA, Canada, Nigeria, Japan, etc.). Of note the majority of publications originate from authors based in the United States representing 39% of the publications followed by Canada and Nigeria standing at 11% each.

2.3. Article type

Table 1 depicts the type of manuscripts published. A total of 28 articles were published in 2022, of which, the majority were research based, 12 (43%) followed by reviews, 10 (36%).

Table 1. Published articles type.

Article type	Number	Percent
Research article	12	43%
Review	10	36%
Others	6	21%
Total	28

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Figure 2. Corresponding authors distribution.

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2.4. Article metrics

Table 2 depicts the top 10 articles with the highest views, published in 2022. A focus of these top 10 articles was: Fall Risks, Monoclonal Antibody development and COVID-19.

Table 2. The top 10 articles with the highest views, published in 2022.

	Title	Corresponding author	Views
1	Knowledge, attitudes on falls and awareness of hospitalized patient's fall risk factors among the nurses working in Tertiary Care Hospitals	Surapaneni Krishna Mohan	1861
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4	Understanding the psychological impact of the COVID-19 pandemic on university students	Belgüzar Kara	1786
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6	Non-small cell lung cancer: epidemiology, screening, diagnosis, and treatment	Anuj A. Shukla	1613
7	Recurrence after treatment of arteriovenous malformations of the head and neck	Nguyen Minh Duc	1583
8	Staphylococcus aureus antimicrobial efflux pumps and their inhibitors: recent developments	Manuel Varela	1467
9	The mental health of the health care professionals in India during the COVID-19 pandemic: a cross-sectional study	B Shivananda Nayak	1268
10	Recognition, treatment, and prevention of perioperative anaphylaxis: a narrative review	Julena Foglia	1210

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2.5. Editorial board members

AIMS Medical Science Journal has 94 members, representing 26 countries. Thirty three percent of the members are from the United States, and other members represent Italy, France, and several other countries (Figure 3). We want to particularly acknowledge our editors: Kelly Pagidas (Editor-in-Chief), Belgüzar Kara, Gulshan Sunavala-Dossabhoy, Gwendolyn Quinn, Panayota Mitrou, Kimberly Udlis (retired), Mai Alzamel, Yi-Jang Lee, Sreekumar Othumpangat, Ji Hyun Kim, Athanasios Alexiou, Robert Striker, Andrei Kelarev, Casey Peiris, Patrick Legembre, Ramin Ataee, Louis Ragolia, Bogdan Borz, Robert Kratzke, Maria Fiorillo, Lars Malmström, Giuliana Banche, Jean-Marie Exbrayat and Elias El-Habr. Importantly, a special thank you to all the Editorial Board members, reviewers and in-house editors, and staff for their dedication, commitment, and unrelenting hard work throughout the year. We hope to attract additional scholars that will be able to join our team for the upcoming year.

Figure 3. Editorial board members distribution.

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AIMS Mathematics

Results on controllability for Sobolev type fractional differential equations of order $1 < r < 2$ with finite delay

Related Papers:

Abstract

1. Journal summary from Editor in Chief

2. Journal development

2.1. Manuscript statistics

2.2. Corresponding authors distribution

2.3. Article type

2.4. Article metrics

2.5. Editorial board members

References

Reader Comments

通讯作者: 陈斌, bchen63@163.com

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Abstract

1. Journal summary from Editor in Chief

2. Journal development

2.1. Manuscript statistics

2.2. Corresponding authors distribution

2.3. Article type

2.4. Article metrics

2.5. Editorial board members

References

AIMS Mathematics

Results on controllability for Sobolev type fractional differential equations of order 1<r<2 1 < r < 2 with finite delay

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Abstract

1. Journal summary from Editor in Chief

2. Journal development

2.1. Manuscript statistics

2.2. Corresponding authors distribution

2.3. Article type

2.4. Article metrics

2.5. Editorial board members

References

Results on controllability for Sobolev type fractional differential equations of order $1 < r < 2$ with finite delay