In this paper, we study the existence and uniqueness of solutions for boundary value problems of fractional dierential equations using Caputo approach. The obtained results are proved using the Banach contraction principle and Scheafer xed point theorem. We also provide some examples to illustrate the possible application of the established results.
{"title":"New Results for a Boundary Value Problem for Caputo Fractional Differential Equations","authors":"L. Tabharit, Z. Dahmani","doi":"10.12816/0006186","DOIUrl":"https://doi.org/10.12816/0006186","url":null,"abstract":"In this paper, we study the existence and uniqueness of solutions for boundary value problems of fractional dierential equations using Caputo approach. The obtained results are proved using the Banach contraction principle and Scheafer xed point theorem. We also provide some examples to illustrate the possible application of the established results.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131647617","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}
Computer networks can use multiple heterogeneous communication channels. All the packets passing through a network facility, e.g. router or switch, must share the limited resources. These shared resources include the available bandwidth of linking channels, CPUs and the buffers. Packets will differently delay if multiple heterogeneous communication channels are used. Present paper aims at overcoming this delay problem for delivering data in case of existence of a number of heterogeneous linking channels by proposing the packet forwarding mechanism Optimized Load Balancing. Also numerical results are obtained for Optimized Load Balancing mechanism that convince of the improvement of delays for proposed mechanism with multiple network links approach.
{"title":"Improvement of Forwarding Mechanism with Heterogeneous Network Links","authors":"V. Hristov","doi":"10.12816/0006185","DOIUrl":"https://doi.org/10.12816/0006185","url":null,"abstract":"Computer networks can use multiple heterogeneous communication channels. All the packets passing through a network facility, e.g. router or switch, must share the limited resources. These shared resources include the available bandwidth of linking channels, CPUs and the buffers. Packets will differently delay if multiple heterogeneous communication channels are used. Present paper aims at overcoming this delay problem for delivering data in case of existence of a number of heterogeneous linking channels by proposing the packet forwarding mechanism Optimized Load Balancing. Also numerical results are obtained for Optimized Load Balancing mechanism that convince of the improvement of delays for proposed mechanism with multiple network links approach.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128530120","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}
We consider a mathematical model which describes the quasistatic transmission problem in thermo-viscoplasticity. We derive a weak formulation of the system of motion equation and energy equation. We prove the existence and uniqueness of the solution and some properties of the solution.
{"title":"Quasi-static transmission problem in thermo-viscoplasticity","authors":"F. Messelmi, A. Merouani","doi":"10.12816/0006181","DOIUrl":"https://doi.org/10.12816/0006181","url":null,"abstract":"We consider a mathematical model which describes the quasistatic transmission problem in thermo-viscoplasticity. We derive a weak formulation of the system of motion equation and energy equation. We prove the existence and uniqueness of the solution and some properties of the solution.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113952495","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}
A monomial Henon mapping is defined as the well- known two-dimensional Henon map with the quadratic term replaced by a monomial. This paper introduces a conjecture about monomial Henon mappings: Even Henon mappings are chaotic and odd Henon mappings are not chaotic in the first quadrant of the bifurcation parameter space. This conjecture is based on numerical simulations of this type of map.
{"title":"On a conjecture about monomial Hénon mappings","authors":"Z. Elhadj, J. Sprott","doi":"10.12816/0006183","DOIUrl":"https://doi.org/10.12816/0006183","url":null,"abstract":"A monomial Henon mapping is defined as the well- known two-dimensional Henon map with the quadratic term replaced by a monomial. This paper introduces a conjecture about monomial Henon mappings: Even Henon mappings are chaotic and odd Henon mappings are not chaotic in the first quadrant of the bifurcation parameter space. This conjecture is based on numerical simulations of this type of map.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123586824","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}
Let be a formal series with deg( ) 2, the aim of this paper is to prove that the maximal length of the nite -fractional parts in the -expansion of product of two beta-polynomials (a formal series that have not -fractional part), denoted L ( ) is nite when is Pisot or Salem series. Especially, we give its exact value if have one conjugate with absolute value smaller than 1 j j and if is a Pisot series verifying d +Ad 1 d 1 + +A0 = 0 such that deg( ) = m 2 and deg(A0) = s deg(Ai) 80 i d 2.
{"title":"Arithmetics in the set of beta-polynomials","authors":"M. Hbaib, Y. Laabidi","doi":"10.12816/0006179","DOIUrl":"https://doi.org/10.12816/0006179","url":null,"abstract":"Let be a formal series with deg( ) 2, the aim of this paper is to prove that the maximal length of the nite -fractional parts in the -expansion of product of two beta-polynomials (a formal series that have not -fractional part), denoted L ( ) is nite when is Pisot or Salem series. Especially, we give its exact value if have one conjugate with absolute value smaller than 1 j j and if is a Pisot series verifying d +Ad 1 d 1 + +A0 = 0 such that deg( ) = m 2 and deg(A0) = s deg(Ai) 80 i d 2.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116203565","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}
The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.
{"title":"Elliptic Curve Over Special Ideal Ring","authors":"A. Chillali","doi":"10.12816/0006175","DOIUrl":"https://doi.org/10.12816/0006175","url":null,"abstract":"The goal of this article is to study elliptic curves over the ring Fq[ ], with Fq a nite eld of order q and with the relation 5 = 0. The motivation for this work came from search for new groups with intractable (DLP) discrete logarithm problem is therefore of great importance. The observation groups where the discrete logarithm problem (DLP) is believed to be intractable have proved to be inestimable building blocks for cryptographic applications.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117352989","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}
dynamic Priority Time Petri Nets (dPTPN) is a mathematical formalism dedicated to modeling Real-Time System (RTS) and checking its schedulability. The present paper proposes a states graph generation from a reduced dPTPN model in order to deal with the scheduling analysis. Based on hierarchical modeling, the present model presents only the interaction between all RTS components and excluding their internal behavior. According to this reduction, a new denition of state is given. Hence, all reachable states and edges connecting between them are generated to show a prediction of the RTS scheduling. Thus, the resulting graph gives birth to an open research area in the purpose of checking its properties and deducing the schedulability.
{"title":"States Graph Generation from dynamic Priority Time Petri Nets","authors":"Walid Karamti, A. Mahfoudhi","doi":"10.12816/0006172","DOIUrl":"https://doi.org/10.12816/0006172","url":null,"abstract":"dynamic Priority Time Petri Nets (dPTPN) is a mathematical formalism dedicated to modeling Real-Time System (RTS) and checking its schedulability. The present paper proposes a states graph generation from a reduced dPTPN model in order to deal with the scheduling analysis. Based on hierarchical modeling, the present model presents only the interaction between all RTS components and excluding their internal behavior. According to this reduction, a new denition of state is given. Hence, all reachable states and edges connecting between them are generated to show a prediction of the RTS scheduling. Thus, the resulting graph gives birth to an open research area in the purpose of checking its properties and deducing the schedulability.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126107858","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}
In this paper, we consider three point boundary value problem for fractional dierential equations of order 1 < < 2. We establish new conditions for the existence and uniqueness of solutions by using Banach xed point theorem. We also generate other existence results using Scheafer and Krasnoselskii xed point theorems.
{"title":"New Fractional Results for a Boundary Value Problem with Caputo Derivative","authors":"M. Houas, Z. Dahmani","doi":"10.12816/0006167","DOIUrl":"https://doi.org/10.12816/0006167","url":null,"abstract":"In this paper, we consider three point boundary value problem for fractional dierential equations of order 1 < < 2. We establish new conditions for the existence and uniqueness of solutions by using Banach xed point theorem. We also generate other existence results using Scheafer and Krasnoselskii xed point theorems.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127589931","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}
In this article, we generalize the Lindley distribution using the quadratic rank transmutation map studied by Shaw et al. [8] to develop a transmuted Lindley distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Lindley distribution for modeling reliability data is illustrated using real data.
{"title":"Transmuted Lindley Distribution","authors":"Faton Merovci","doi":"10.12816/0006170","DOIUrl":"https://doi.org/10.12816/0006170","url":null,"abstract":"In this article, we generalize the Lindley distribution using the quadratic rank transmutation map studied by Shaw et al. [8] to develop a transmuted Lindley distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Lindley distribution for modeling reliability data is illustrated using real data.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124395750","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}
A strong convergence theorem for asymptotically generalized hemicontractive map in real Banach space is proved using the iterative sequence generated by this map. The result of this paper extend and improve the very recent result of Kim et al., (2009) which itself is a generalization of many of the previous results.
{"title":"Some convergence results for non-linear maps in Banach spaces","authors":"Adesanmi Alao Mogbademu","doi":"10.12816/0006164","DOIUrl":"https://doi.org/10.12816/0006164","url":null,"abstract":"A strong convergence theorem for asymptotically generalized hemicontractive map in real Banach space is proved using the iterative sequence generated by this map. The result of this paper extend and improve the very recent result of Kim et al., (2009) which itself is a generalization of many of the previous results.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115491814","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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