Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.217-236
I. Alasadi, Ahmed A. Hamoud
In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with mixed conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed.
{"title":"Existence and Stability Results for Fractional Volterra-Fredholm Integro-Dierential Equation with Mixed Conditions","authors":"I. Alasadi, Ahmed A. Hamoud","doi":"10.37622/adsa/16.1.2021.217-236","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.217-236","url":null,"abstract":"In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Caputo fractional Volterra-Fredholm integro-differential equations with mixed conditions. The desired results are proved by using Banach and Krasnoselskii’s fixed point theorems. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74771808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.67-74
Vinti Anon, Salahuddin Anon
In this paper we have established some Definite Integral formulae involving Bessel function of the first kind, Hypergeometric function, Struve function and Sine function.
本文建立了涉及第一类贝塞尔函数、超几何函数、Struve函数和正弦函数的定积分公式。
{"title":"Some Definite Integral Involving Some Valuable Special Functions","authors":"Vinti Anon, Salahuddin Anon","doi":"10.37622/adsa/16.1.2021.67-74","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.67-74","url":null,"abstract":"In this paper we have established some Definite Integral formulae involving Bessel function of the first kind, Hypergeometric function, Struve function and Sine function.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83194568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.35-44
Darrell Cox, Sourangshu Ghosh, E. Sultanow
In this paper we derive new properties of Mertens function and discuss about a likely upper bound of the absolute value of the Mertens function √log(x!) > |M(x)| when x > 1. Using this likely bound we show that we have a sufficient condition to prove the Riemann Hypothesis.
{"title":"Bounds of the Mertens Functions","authors":"Darrell Cox, Sourangshu Ghosh, E. Sultanow","doi":"10.37622/adsa/16.1.2021.35-44","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.35-44","url":null,"abstract":"In this paper we derive new properties of Mertens function and discuss about a likely upper bound of the absolute value of the Mertens function √log(x!) > |M(x)| when x > 1. Using this likely bound we show that we have a sufficient condition to prove the Riemann Hypothesis.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87185721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.181-188
Aleksei V. Rusinov, Vladimir V. Sliusarenko, O. Kabanov, Tatiana V. Fediunina, Dmitrii A. Rusinov
The cultivation of agricultural crops in a given time frame is impossible without high-performance, high-horsepower tractors. During tillage, tractor propellers have a negative effect on the soil, leading to its compaction, abrasion, and disruption of the macro-aggregate composition. This leads to wind erosion, which reduces soil fertility and crop yields. The objective of the research is to determine the change in the macro-aggregate composition of the soil and its fertility during the impact of the propellers of the K-701 and K-744 tractors. The article presents the results of field studies proving the reduction of the negative impact on the soil of the propulsion devices of twin-wheeled tractors. 182 Aleksei V. Rusinov et al This will increase the grain yield up to 24%. The presented data will make it possible to carry out the optimal completing of the enterprise's tractor fleet, which ensures the minimum impact on the soil and the preservation of its fertility and yield.
如果没有高性能、大功率的拖拉机，在规定的时间内种植农作物是不可能的。在耕作过程中，拖拉机螺旋桨对土壤有负面影响，导致土壤压实、磨损和宏观团聚体组成的破坏。这会导致风蚀，从而降低土壤肥力和作物产量。研究的目的是确定在K-701和K-744拖拉机螺旋桨的影响下土壤的宏观团聚体组成及其肥力的变化。本文介绍了实地研究的结果，证明减少了双轮拖拉机推进装置对土壤的负面影响。Aleksei V. Rusinov等。这将使粮食产量提高24%。所提供的数据将使企业拖拉机车队的优化完成成为可能，从而确保对土壤的影响最小，并保持其肥力和产量。
{"title":"Soil Enrichment and Crop Yield Enhancement Technique","authors":"Aleksei V. Rusinov, Vladimir V. Sliusarenko, O. Kabanov, Tatiana V. Fediunina, Dmitrii A. Rusinov","doi":"10.37622/adsa/16.1.2021.181-188","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.181-188","url":null,"abstract":"The cultivation of agricultural crops in a given time frame is impossible without high-performance, high-horsepower tractors. During tillage, tractor propellers have a negative effect on the soil, leading to its compaction, abrasion, and disruption of the macro-aggregate composition. This leads to wind erosion, which reduces soil fertility and crop yields. The objective of the research is to determine the change in the macro-aggregate composition of the soil and its fertility during the impact of the propellers of the K-701 and K-744 tractors. The article presents the results of field studies proving the reduction of the negative impact on the soil of the propulsion devices of twin-wheeled tractors. 182 Aleksei V. Rusinov et al This will increase the grain yield up to 24%. The presented data will make it possible to carry out the optimal completing of the enterprise's tractor fleet, which ensures the minimum impact on the soil and the preservation of its fertility and yield.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76730982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.313-316
Chengning Liu
This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.
{"title":"Proof of Collatz Conjecture","authors":"Chengning Liu","doi":"10.37622/adsa/16.1.2021.313-316","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.313-316","url":null,"abstract":"This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75372455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.171-179
Jinsu Kim, Sungwoo Jung, S. Oh, Won-Chi Jung, Doik Hyun, Yujin Jung, Eunsun Choi, Namje Park
As society develops, the protection of individual safety is becoming increasingly important. In particular, the leakage of personal information, which means information that can be inferred from individuals, is a big topic that has caused a huge impact on society. In order to strengthen the protection of personal information, the video system pays a lot of attention to recorded video information or personal information, and a lot of research is being conducted to prevent it from being leaked or to identify the target from the leaked data. However, the recorded information may include criminals as well as ordinary people. There are also cases where personal information is not required to be disclosed for all criminals, but some disclosure is required depending on the risk of the subject. In this paper, we study the mechanism of applying risk-dependent non-identification in a blockchain-based data recording environment to enhance the reliability of data in the process of de-identification based on target risk information and whether it is criminal or not.
{"title":"De-identification Mechanism of Block Network Image Privacy Information based on Risk Level","authors":"Jinsu Kim, Sungwoo Jung, S. Oh, Won-Chi Jung, Doik Hyun, Yujin Jung, Eunsun Choi, Namje Park","doi":"10.37622/adsa/16.1.2021.171-179","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.171-179","url":null,"abstract":"As society develops, the protection of individual safety is becoming increasingly important. In particular, the leakage of personal information, which means information that can be inferred from individuals, is a big topic that has caused a huge impact on society. In order to strengthen the protection of personal information, the video system pays a lot of attention to recorded video information or personal information, and a lot of research is being conducted to prevent it from being leaked or to identify the target from the leaked data. However, the recorded information may include criminals as well as ordinary people. There are also cases where personal information is not required to be disclosed for all criminals, but some disclosure is required depending on the risk of the subject. In this paper, we study the mechanism of applying risk-dependent non-identification in a blockchain-based data recording environment to enhance the reliability of data in the process of de-identification based on target risk information and whether it is criminal or not.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90872945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.121-132
V. Korsak, N. Pronko, O. Karpova, V. Shadskikh, V. Kizhaeva
The article presents the results of the studies concerning the influence of irrigation methods on agrophysical properties and productivity of irrigated medium loamy dark chestnut soil of dry steppe on the left bank of the Volga river. It is proved that the use of surface irrigation by strip flooding leads to the most unfavorable changes in the agrophysical state of the upper layers of the studied soil difference in comparison with the use of surface irrigation along furrows and sprinkling via wide-grip sprinklers. With strip irrigation the total porosity of the arable and subsurface soil horizons decreases to the greatest extent in comparison with furrows and sprinkling, the proportion of the most agronomically valuable meso-aggregates in the soil structure decreases, while the proportion of small silty micro-aggregates and large macro-aggregates increases to the maximum. All this determines the lowest productivity of irrigated dark chestnut soil after irrigation in strips, as compared to sprinkling and furrow irrigation (spring wheat yield decrease makes 0.55 t/ha and 0.77 t/ha, respectively).
{"title":"Influence of irrigation methods on agrophysical properties and productivity of dark chestnut soils of dry steppe on the left bank of the Volga river","authors":"V. Korsak, N. Pronko, O. Karpova, V. Shadskikh, V. Kizhaeva","doi":"10.37622/adsa/16.1.2021.121-132","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.121-132","url":null,"abstract":"The article presents the results of the studies concerning the influence of irrigation methods on agrophysical properties and productivity of irrigated medium loamy dark chestnut soil of dry steppe on the left bank of the Volga river. It is proved that the use of surface irrigation by strip flooding leads to the most unfavorable changes in the agrophysical state of the upper layers of the studied soil difference in comparison with the use of surface irrigation along furrows and sprinkling via wide-grip sprinklers. With strip irrigation the total porosity of the arable and subsurface soil horizons decreases to the greatest extent in comparison with furrows and sprinkling, the proportion of the most agronomically valuable meso-aggregates in the soil structure decreases, while the proportion of small silty micro-aggregates and large macro-aggregates increases to the maximum. All this determines the lowest productivity of irrigated dark chestnut soil after irrigation in strips, as compared to sprinkling and furrow irrigation (spring wheat yield decrease makes 0.55 t/ha and 0.77 t/ha, respectively).","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90066611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.189-200
A. O. Vezirov, G. V. Levchenko, P. Pavlov, E. E. Demin
Preparing and using soil in greenhouses is a laborious and energy consuming process. The lack of specialized technical means hinders obtaining the required quality of soil mixtures. For mixing and loading soil components for greenhouses, a mixer-loader with a screw milling operating element has been developed. One of the main stages in the development of new designs is to determine the main design parameters of the screw-milling operating element, which is the main in the mixing process. The theoretical and experimental studies established the influence of the parameters on the indicators of the efficiency of the preparation of soil mixtures and substantiated their rational values. The shape of the cutting teeth installed on the screw-milling operating element is substantiated. As a result of research, technological indicators were obtained: the mixing quality factor is 0.96...0.98, the moisture and air capacities of the resulting soil mixtures reach 51 and 48%.
{"title":"The Study the Influence of the Parameters of the Operating Elements on the Technological Indicators of the Operation of the Greenhouse Soil Loader and Mixer","authors":"A. O. Vezirov, G. V. Levchenko, P. Pavlov, E. E. Demin","doi":"10.37622/adsa/16.1.2021.189-200","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.189-200","url":null,"abstract":"Preparing and using soil in greenhouses is a laborious and energy consuming process. The lack of specialized technical means hinders obtaining the required quality of soil mixtures. For mixing and loading soil components for greenhouses, a mixer-loader with a screw milling operating element has been developed. One of the main stages in the development of new designs is to determine the main design parameters of the screw-milling operating element, which is the main in the mixing process. The theoretical and experimental studies established the influence of the parameters on the indicators of the efficiency of the preparation of soil mixtures and substantiated their rational values. The shape of the cutting teeth installed on the screw-milling operating element is substantiated. As a result of research, technological indicators were obtained: the mixing quality factor is 0.96...0.98, the moisture and air capacities of the resulting soil mixtures reach 51 and 48%.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90073747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.45-57
M. K. Reddy, P. Rao, E. Lydia
The consensus grouping expects to merge a few existing core segments into a coordinated set, which has generally been perceived for grouping heterogeneous and multi-source information. One can deduce from the strong and high-level performance of the usual grouping techniques draws by agreement in great consideration, and many efforts have been made to build this field. The Kmeans-based Consensus Clustering (KCC) changes the agreement grouping issue into a traditional Kmeans clustering with hypothetical backings and shows the favorable circumstances over the cutting edge techniques. Even though KCC acquires the benefits of Kmeans, it experiences assignment instantly. Also, the current system of aggregating arrangements isolates age and the combination of essential segments into two unrelated parties. To resolve the following two difficulties a Weighted Quantum Particle Swarm Optimization (WQPSO) with KCC is proposed. This paper proposes a WQPSO calculation with the weighted average of the best situation based on particle welfare estimates. Calculation WQPSO gives faster in the vicinity of mixing, the suites in a better harmony between the world and the neighborhood looking from the calculation so that it produces a great 46 Muthangi Kantha Reddy, Dr.P. Srinivasa Rao, Dr.E. Laxmi Lydia performance. The proposed calculation of the WQPSO is well informed on some reference books and the contrasted and standard Particle Swarm Optimization (PSO). Similarly, in the grouping, there are many calculations of unassigned grouping that have been created such calculation is a KCC which is basic and direct. The Big Data Cluster contains the KCC calculation which is essentially used to decrease the length of the asset group.
{"title":"WQPSO Method uses K-means-based Consensus Clustering in BigData","authors":"M. K. Reddy, P. Rao, E. Lydia","doi":"10.37622/adsa/16.1.2021.45-57","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.45-57","url":null,"abstract":"The consensus grouping expects to merge a few existing core segments into a coordinated set, which has generally been perceived for grouping heterogeneous and multi-source information. One can deduce from the strong and high-level performance of the usual grouping techniques draws by agreement in great consideration, and many efforts have been made to build this field. The Kmeans-based Consensus Clustering (KCC) changes the agreement grouping issue into a traditional Kmeans clustering with hypothetical backings and shows the favorable circumstances over the cutting edge techniques. Even though KCC acquires the benefits of Kmeans, it experiences assignment instantly. Also, the current system of aggregating arrangements isolates age and the combination of essential segments into two unrelated parties. To resolve the following two difficulties a Weighted Quantum Particle Swarm Optimization (WQPSO) with KCC is proposed. This paper proposes a WQPSO calculation with the weighted average of the best situation based on particle welfare estimates. Calculation WQPSO gives faster in the vicinity of mixing, the suites in a better harmony between the world and the neighborhood looking from the calculation so that it produces a great 46 Muthangi Kantha Reddy, Dr.P. Srinivasa Rao, Dr.E. Laxmi Lydia performance. The proposed calculation of the WQPSO is well informed on some reference books and the contrasted and standard Particle Swarm Optimization (PSO). Similarly, in the grouping, there are many calculations of unassigned grouping that have been created such calculation is a KCC which is basic and direct. The Big Data Cluster contains the KCC calculation which is essentially used to decrease the length of the asset group.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86551963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-30DOI: 10.37622/adsa/16.1.2021.113-120
Jayant Prakash Ganvir, S. Bhaumik, S. K. Tiwari
{"title":"Coupled fixed point theorem for mapping satisfying cyclic-F-contraction","authors":"Jayant Prakash Ganvir, S. Bhaumik, S. K. Tiwari","doi":"10.37622/adsa/16.1.2021.113-120","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.113-120","url":null,"abstract":"","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88164502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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