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/16.1.2021.45-57
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/16.1.2021.75-89
A. El-Sayed, Sahar Y. Issa, M. Elmiari
{"title":"Ulam-type Stability for a Boundary Value Problem of Implicit Fractional-orders Differential Equation","authors":"A. El-Sayed, Sahar Y. Issa, M. Elmiari","doi":"10.37622/adsa/16.1.2021.75-89","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.75-89","url":null,"abstract":"","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86624360","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/16.1.2021.5-15
K. Khan
In this paper, we find survival rate estimates, parameter estimates, variance covariance for some probability distribution models like, Exponential, Inverse Gaussian, Gompertz, Gumbels and Weibull distributions using least-squares estimation method. We found these estimates for the case when partial derivatives were not available and for the case when partial derivatives were available. The first case when partial derivatives were not available, we used the simplex optimization (Nelder and Meads ([6],[7]) and Hooke and Jeeves ([4],[5])) methods and the case when first partial derivatives were available we applied the Quasi – Newton optimization (Davidon-Fletcher-Powel (DFP) and the Broyden-Fletcher-Goldfarb-Shanno (BFGS) methods. The medical data sets of 21 Leukemia cancer patients with time span of 35 weeks ([3]) were used.
本文用最小二乘估计方法对指数分布、逆高斯分布、Gompertz分布、gumbel分布和Weibull分布等概率分布模型进行了存活率估计、参数估计和方差协方差估计。我们发现这些估计值适用于不存在偏导数的情况以及存在偏导数的情况。在第一种情况下，当偏导数不可用时，我们使用单纯形优化(Nelder and Meads([6]，[7])和Hooke and Jeeves([4]，[5]))方法;在第一种情况下，当偏导数可用时，我们应用拟牛顿优化(davidon - fletcher - powell (DFP)和Broyden-Fletcher-Goldfarb-Shanno (BFGS)方法。采用时间跨度为35周的21例白血病患者的医疗数据集[3]。
{"title":"A Comparison of Survivor Rate Estimates for Some Probability Distribution Models Using Least-Squares Method in Conjunction with Simplex and Quasi-Newton Optimization Methods","authors":"K. Khan","doi":"10.37622/adsa/16.1.2021.5-15","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.5-15","url":null,"abstract":"In this paper, we find survival rate estimates, parameter estimates, variance covariance for some probability distribution models like, Exponential, Inverse Gaussian, Gompertz, Gumbels and Weibull distributions using least-squares estimation method. We found these estimates for the case when partial derivatives were not available and for the case when partial derivatives were available. The first case when partial derivatives were not available, we used the simplex optimization (Nelder and Meads ([6],[7]) and Hooke and Jeeves ([4],[5])) methods and the case when first partial derivatives were available we applied the Quasi – Newton optimization (Davidon-Fletcher-Powel (DFP) and the Broyden-Fletcher-Goldfarb-Shanno (BFGS) methods. The medical data sets of 21 Leukemia cancer patients with time span of 35 weeks ([3]) were used.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"130 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87674762","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：