{"title":"Second order sweeping process with almost convex perturbation","authors":"Doria Affane, M. Yarou","doi":"10.1063/1.5136122","DOIUrl":"https://doi.org/10.1063/1.5136122","url":null,"abstract":"In this work, we consider an evolution differential inclusion known as the perturbed second order nonconvex sweeping process for a class of subsmooth moving sets. The right-hand side contains a set-valued perturbation with almost-convex values, which is a strictly weaker condition than the standard assumption of convexity.In this work, we consider an evolution differential inclusion known as the perturbed second order nonconvex sweeping process for a class of subsmooth moving sets. The right-hand side contains a set-valued perturbation with almost-convex values, which is a strictly weaker condition than the standard assumption of convexity.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"2015 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":"127654696","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":"Some properties of generalized complex space forms","authors":"Pegah Mutlu","doi":"10.1063/1.5136225","DOIUrl":"https://doi.org/10.1063/1.5136225","url":null,"abstract":"In the present paper, we determine the holomorphic curvature tensor of generalized complex space forms and study some properties of this tensor in generalized complex space forms. Moreover, we present results on generalized complex space forms satisfying curvature identities named Walker type identities.In the present paper, we determine the holomorphic curvature tensor of generalized complex space forms and study some properties of this tensor in generalized complex space forms. Moreover, we present results on generalized complex space forms satisfying curvature identities named Walker type identities.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"114 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":"130023939","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":"Preface to Plenary Session","authors":"H. Cakalli","doi":"10.1063/1.5136099","DOIUrl":"https://doi.org/10.1063/1.5136099","url":null,"abstract":"","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"19 2 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":"129303920","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":"Relative selective versions of the ccc property","authors":"L. Kočinac","doi":"10.1063/1.5136101","DOIUrl":"https://doi.org/10.1063/1.5136101","url":null,"abstract":"We begin a study of relative versions of selective ccc property and selective star-ccc property of topological spaces. These two properties have been introduced recently in the papers [4] and [6], respectively. A relation with game theory is also discussed.We begin a study of relative versions of selective ccc property and selective star-ccc property of topological spaces. These two properties have been introduced recently in the papers [4] and [6], respectively. A relation with game theory is also discussed.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"21 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":"121119149","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":"Sinc approximation solution of integro-differential equation","authors":"D. Belakroum, Kheireddine Belakroum","doi":"10.1063/1.5136180","DOIUrl":"https://doi.org/10.1063/1.5136180","url":null,"abstract":"In this study the application of the sinc-Galerkin method to an approximate solution of integrodifferantial problem were discussed. Applying this method the integrodifferential equation is reduced ...","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":"127849942","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":"Preface to “Mathematical Methods in Physics”","authors":"O. Gurtug, I. Sakalli","doi":"10.1063/1.5136201","DOIUrl":"https://doi.org/10.1063/1.5136201","url":null,"abstract":"","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"13 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":"127494908","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 new approach to find the multi-fractal dimension of multi-fuzzy fractal attractor sets based on the iterated function system","authors":"A. J. Mohammed","doi":"10.1063/1.5136162","DOIUrl":"https://doi.org/10.1063/1.5136162","url":null,"abstract":"In nature, objects are not single fractal sets but are a collection of complex multiple fractals that characterise the multi-fractal space, a generalisation of fractal space. While fractal space includes a fractal set, a multi-fractal space includes the union of fractals. A fuzzy fractal space is a fuzzy metric space and is an approach for the construction, analysis, and approximation of sets and images that exhibit fractal characteristics. The finite Cartesian product of fuzzy fractal spaces is called the multi-fuzzy fractal space. We propose in this paper, a theoretical proof to define the multi-fractal dimensions FD of a multi-fuzzy fractal attractor of n objects for the self-similar fractals sets A=∏i=1nAi=(A1,A2,…An) of the contraction mapping W**:∏i=1nH(F(Xi)→∏i=1nH(F(Xi)) with contractivity factor r = max{ri, i = 1, 2,…n} where H(F(Xi) is a fuzzy fractal space for each i = 1, 2,=, n; over a complete metric space (∏i=1nH(F(Xi)),D*) then for all Bi that belong toH(F(Xi)), there exists B* belonging to (∏i=1nH(F(Xi))) such that W**(B*=∏i=1nBi)=∏i=1n(∪j=1n∪k=1k(i,j)ωij*k(Bj)=∏i=1nWi(B*)). By supposing that M(t)=(∑k(rij*k)FD)n×n is the matrix associated with the the contraction mapping ωij*k with contraction factor rij*k, ∀i, j=1, 2,…, n, ∀k=1, 2, …, k(i, j), for all t≥0, and h (t)=det(M (t)-I). Then, we prove that if there exists a FD such that; h(FD)=0, then FD is the multi fractal dimension for the multi fuzzy-fractal sets of IFS; and M(FD) has a fixed point in Rn.In nature, objects are not single fractal sets but are a collection of complex multiple fractals that characterise the multi-fractal space, a generalisation of fractal space. While fractal space includes a fractal set, a multi-fractal space includes the union of fractals. A fuzzy fractal space is a fuzzy metric space and is an approach for the construction, analysis, and approximation of sets and images that exhibit fractal characteristics. The finite Cartesian product of fuzzy fractal spaces is called the multi-fuzzy fractal space. We propose in this paper, a theoretical proof to define the multi-fractal dimensions FD of a multi-fuzzy fractal attractor of n objects for the self-similar fractals sets A=∏i=1nAi=(A1,A2,…An) of the contraction mapping W**:∏i=1nH(F(Xi)→∏i=1nH(F(Xi)) with contractivity factor r = max{ri, i = 1, 2,…n} where H(F(Xi) is a fuzzy fractal space for each i = 1, 2,=, n; over a complete metric space (∏i=1nH(F(Xi)),D*) then for all Bi that belong toH(F(Xi)), there exists B* belonging to...","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"3 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":"121283994","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":"Secure optical communication based on new 2D-hyperchaotic map","authors":"Dhurgham Younus, N. Al-Saidi, W. Hamoudi","doi":"10.1063/1.5136206","DOIUrl":"https://doi.org/10.1063/1.5136206","url":null,"abstract":"The reason behind using chaos based cryptography is important because of non-periodic chaotic signals; their behavior is nonlinear in addition to their sensitivity to initial conditions, which grant chaos great important in measuring the unpredictability and randomness. These properties conduct that; the designed system must possess high complexity. Therefore, designing a non-linear system satisfying the aforementioned properties is of high demand. Derived from the existing 1D-sine map, a new nonlinear 2D-adjusted sine map is intended to generate a hyperchaotic behavior; its dynamical properties are studied in term of trajectory, Lyapunov exponent, and bifurcation diagram. The complexity of the 2D-adjusted sine map is investigated using the Approximate Entropy (AE). The generated chaotic signal is modulated with the message and sent as a binary sequence through an optical channel.The reason behind using chaos based cryptography is important because of non-periodic chaotic signals; their behavior is nonlinear in addition to their sensitivity to initial conditions, which grant chaos great important in measuring the unpredictability and randomness. These properties conduct that; the designed system must possess high complexity. Therefore, designing a non-linear system satisfying the aforementioned properties is of high demand. Derived from the existing 1D-sine map, a new nonlinear 2D-adjusted sine map is intended to generate a hyperchaotic behavior; its dynamical properties are studied in term of trajectory, Lyapunov exponent, and bifurcation diagram. The complexity of the 2D-adjusted sine map is investigated using the Approximate Entropy (AE). The generated chaotic signal is modulated with the message and sent as a binary sequence through an optical channel.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"33 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":"123290094","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":"Extension of q–fractional integral and derivative operator and study of their properties","authors":"M. Momenzadeh","doi":"10.1063/1.5136135","DOIUrl":"https://doi.org/10.1063/1.5136135","url":null,"abstract":"In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.In this article, new class of q-fractional integral operator is introduced. In the aid of this definition, related derivative is investigated and inverse properties are studied. New operator based on q-fractional integral operator is created and a class of (p, q)-absolutely continous function is classified.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"220 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":"115840579","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":"Lacunary d-statistical convergence and lacunary d-statistical boundedness in metric spaces","authors":"Hacer Şengul, M. Et, H. Cakalli","doi":"10.1063/1.5136153","DOIUrl":"https://doi.org/10.1063/1.5136153","url":null,"abstract":"In this study, using a lacunary sequence we introduce the concepts of lacunary d−statistically convergent sequences and lacunary d−statistically bounded sequences in general metric spaces.In this study, using a lacunary sequence we introduce the concepts of lacunary d−statistically convergent sequences and lacunary d−statistically bounded sequences in general metric spaces.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"46 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":"132164196","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}