{"title":"Soliton solutions of Gursey model with bichromatic force","authors":"E. Tosyali, F. Aydogmus","doi":"10.1063/1.5136210","DOIUrl":"https://doi.org/10.1063/1.5136210","url":null,"abstract":"Gursey proposed a spinor field equation which is similar to Heisenberg’s nonlinear generalization of Dirac’s equation. This equation is the first nonlinear conformal invariant wave equation. In this paper, we investigate the soliton solutions in Gursey wave equation held in a tilted bichromatic force by constructing their Poincare sections in phase space depending on the system parameters.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116162118","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}
{"title":"A block-based image encryption scheme using cellular automata with authentication capability","authors":"Ziba Eslami, Saeideh Kabirirad","doi":"10.1063/1.5136195","DOIUrl":"https://doi.org/10.1063/1.5136195","url":null,"abstract":"This paper presents an authenticated image encryption algorithm based on cellular automata. To accelerate the process, we divide the image into blocks and use a permutation algorithm to apply chaos on the blocks and then use cellular automata-based algorithm to change the pixels. The authentication mechanism of our scheme, adjustable to the desired level, can detect slight tampering in the cipher image before full decryption. Existing image encryption schemes usually cannot provide parallel processing capability and high sensitivity to changes simultaneously. This study tries to overcome this drawback as well. We show that our proposal fulfills desired security properties including large key space and robustness against statistical, differential and chosen-plaintext attacks.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128215711","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}
{"title":"The explicit relation between the DKP equation and the Klein-Gordon equation","authors":"Djahida Bouchefra, B. Boudjedaa","doi":"10.1063/1.5136204","DOIUrl":"https://doi.org/10.1063/1.5136204","url":null,"abstract":"DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1+3) dimensions and spin-1 particle in (1+1) dimensions. From the DKP equation in its explicit form, we get another system generated by the KG equation, which gives us the equivalence between the DKP equation and the KG equation. Using this equivalence, the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave, is calculated.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134356772","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}
{"title":"On a boundary problem for a non-local Poisson equation with boundary operators of the Hadamard type","authors":"B. Turmetov, Rakhim Shamsiev","doi":"10.1063/1.5136189","DOIUrl":"https://doi.org/10.1063/1.5136189","url":null,"abstract":"In this paper the solvability problems of some boundary value problems for a non-local Poisson equation are studied. A non-local Poisson equation is represented by using some orthogonal matrix. The properties and examples of such matrices are given. In the current boundary value problem, which being considered in the paper, the fractional order differentiation operators are used as boundary operators. These operators are defined as derivatives of the Hadamard-Caputo type. Note that in particular cases of the parameters of the boundary conditions we obtain well known conditions of the Dirichlet, Neumann, and Robin type problems. For the problems under consideration, theorems on the existence and uniqueness of solutions are proved. The exact solvability conditions for the problem under study are found. In addition, we obtained representation for the solution of the fractional boundary problem for non-local Poisson equation.In this paper the solvability problems of some boundary value problems for a non-local Poisson equation are studied. A non-local Poisson equation is represented by using some orthogonal matrix. The properties and examples of such matrices are given. In the current boundary value problem, which being considered in the paper, the fractional order differentiation operators are used as boundary operators. These operators are defined as derivatives of the Hadamard-Caputo type. Note that in particular cases of the parameters of the boundary conditions we obtain well known conditions of the Dirichlet, Neumann, and Robin type problems. For the problems under consideration, theorems on the existence and uniqueness of solutions are proved. The exact solvability conditions for the problem under study are found. In addition, we obtained representation for the solution of the fractional boundary problem for non-local Poisson equation.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117256861","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}
{"title":"(A, φ, λ)– invariant statistical convergence of order α","authors":"E. Savaş","doi":"10.1063/1.5136104","DOIUrl":"https://doi.org/10.1063/1.5136104","url":null,"abstract":"The aim of this paper is to introduce and present some properties of (A, φ, λ)-invariant statistically convergent which is defined using the φ-function and the generalized three parametric real matrix. Further some inclusion theorems are proved.The aim of this paper is to introduce and present some properties of (A, φ, λ)-invariant statistically convergent which is defined using the φ-function and the generalized three parametric real matrix. Further some inclusion theorems are proved.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"164 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116527740","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}
{"title":"Solving advection equation by using the natural decomposition method","authors":"J. Saelao, Khanittha Kamdee","doi":"10.1063/1.5136209","DOIUrl":"https://doi.org/10.1063/1.5136209","url":null,"abstract":"In this paper, we will study the natural decomposition method (NDM) to obtain exact solution of nonlinear homogeneous and nonhomogeneous advection equation. The Adomian decomposition method is the basis of natural decomposition method. The theoretical analysis of the natural decomposition method is investigated for some equation and calculated with easily computable terms. The results are compared with other method. The evident has illustrated that this method is easy and efficient.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116251527","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}
{"title":"Resonant frequencies of linear dilaton black holes in Einstein-Maxwell-Dilaton gravity","authors":"I. Sakalli","doi":"10.1063/1.5136102","DOIUrl":"https://doi.org/10.1063/1.5136102","url":null,"abstract":"Charged massless scalar field perturbations are analyzed in the gravitational, electromagnetic, and dilaton fields of linear dilaton black holes. After separating the covariant Klein–Gordon equation (KGE) into radial and angular parts, we show how one obtain the analytical solutions of the radial equation in terms of the confluent Heun functions. Then, we consider the problems of resonant frequencies and quantization with the help of the obtained radial equation.Charged massless scalar field perturbations are analyzed in the gravitational, electromagnetic, and dilaton fields of linear dilaton black holes. After separating the covariant Klein–Gordon equation (KGE) into radial and angular parts, we show how one obtain the analytical solutions of the radial equation in terms of the confluent Heun functions. Then, we consider the problems of resonant frequencies and quantization with the help of the obtained radial equation.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127685170","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}
{"title":"Deferred statistical convergence of order α in topological groups","authors":"Hacer Şengul, M. Et, H. Cakalli","doi":"10.1063/1.5136152","DOIUrl":"https://doi.org/10.1063/1.5136152","url":null,"abstract":"In this paper, the concept of deferred statistical convergence of order α is generalized to topological groups, and some inclusion relations between the set of all statistically convergent sequence...","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126429847","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}
S. A. Yousif, Hussam Yahya Abdul-Wahed, N. Al-Saidi
{"title":"Extracting a new fractal and semi-variance attributes for texture images","authors":"S. A. Yousif, Hussam Yahya Abdul-Wahed, N. Al-Saidi","doi":"10.1063/1.5136199","DOIUrl":"https://doi.org/10.1063/1.5136199","url":null,"abstract":"Texture feature extraction is one of the essential functions in the field of image processing and pattern recognition. There is a very high demand for finding new attributes for this purpose. The fractal dimension (FD) is demonstrated to be an excellent parameter to analyze textures at different scales. In this work, we propose new attributes for image categorization by utilizing two components of texture analysis: fractal and semi-variance characteristics. A set of five attributes is used to investigate different texture patterns. Lacunarity and two other attributes, along with fractal dimension, are four candidates for semi-variance estimation used to ensure a better description of the textured appearance. The simple K-means method was adapted for clustering purposes and revealed from two to ten different clusters. Subsequently, several classification algorithms were used to categorize a new image from the extracted features; these classification algorithms are Nave bays, Decision Tree, and Multilayer Perceptron. The Ten-fold cross-validation scheme is also used to reduce the variability of the results.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124366231","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}
{"title":"Numerical solutions of the system of fractional differential equations observing epidemic models","authors":"A. Ashyralyev, B. Kaymakamzade, I. D. Hayder","doi":"10.1063/1.5136179","DOIUrl":"https://doi.org/10.1063/1.5136179","url":null,"abstract":"In the present study, numerical solutions of system of fractional differential equations observing epidemic model problems are investigated. First and second order of accuracy difference schemes are presented for the solution of the one dimensional epidemic problem and the numerical procedure for implementation of these schemes is discussed.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130278742","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}