In this paper, we combine the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, for solving linear and nonlinear local fractional partial differential equations. This method is called the Local Fractional Sumudu Variational Iteration Method (LFSVIM). The LFSVIM can easily be applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions to local fractional partial differential equations. Some illustrative examples are given, revealing the effectiveness and convenience of the method.
{"title":"Local Fractional Sumudu Variational Iteration Method for Solving Partial Differential Equations with Local Fractional Derivative","authors":"D. Ziane","doi":"10.12816/0048704","DOIUrl":"https://doi.org/10.12816/0048704","url":null,"abstract":"In this paper, we combine the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, for solving linear and nonlinear local fractional partial differential equations. This method is called the Local Fractional Sumudu Variational Iteration Method (LFSVIM). The LFSVIM can easily be applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions to local fractional partial differential equations. Some illustrative examples are given, revealing the effectiveness and convenience of the method.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129554502","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 Furdui Problem","authors":"Hua Xu, L. Yin","doi":"10.12816/0048696","DOIUrl":"https://doi.org/10.12816/0048696","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127762578","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 short note we give an example which disproves Conjecture 8 of [1]. An interesting characterization of the cyclic group Z6 is also obtained.
在这个简短的说明中，我们给出一个例子来反驳[1]的猜想8。还得到了Z6环群的一个有趣的性质。
{"title":"Addendum to on Finite Groups with Perfect Subgroup Order Subsets","authors":"Marius Tărnăucean","doi":"10.12816/0048700","DOIUrl":"https://doi.org/10.12816/0048700","url":null,"abstract":"In this short note we give an example which disproves Conjecture 8 of [1]. An interesting characterization of the cyclic group Z6 is also obtained.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126684662","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 palindrome is a word, or a sequence of characters which reads the same backward as forward. In this article we study palindrome words on the Arnoux Rauzy substitutions sequences.
{"title":"Palindrome Words on the Arnoux-Rauzy Sequences","authors":"T. Sellami","doi":"10.12816/0048702","DOIUrl":"https://doi.org/10.12816/0048702","url":null,"abstract":"A palindrome is a word, or a sequence of characters which reads the same backward as forward. In this article we study palindrome words on the Arnoux Rauzy substitutions sequences.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133589877","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 Traveling Salesman Problem (TSP) is a combinatorial optimization problem of great importance which continues to interest several researchers in order to develop methods to achieve an optimal solution. Genetic algorithms (GAs) as meta-heuristic methods have been widely applied to this problem. Inspired by biological phenomena, we introduce two immigration operators, random immigration and structured memory immigration, forming two different algorithms. The performance of these algorithms is evaluated using benchmark datasets of symmetric TSP from TSPLIB library. The results of the proposed algorithms are compared with the standard genetic algorithm showing that the proposed algorithms improve the performance of GA in solving TSP problem effectively and specifically with the developed structured memory immigration.
{"title":"Optimization Approach Based on Immigration Strategies for Symmetric Traveling Salesman Problem","authors":"C. Tajani, O. Abdoun, J. Abouchabaka","doi":"10.12816/0041835","DOIUrl":"https://doi.org/10.12816/0041835","url":null,"abstract":"The Traveling Salesman Problem (TSP) is a combinatorial optimization problem of great importance which continues to interest several researchers in order to develop methods to achieve an optimal solution. Genetic algorithms (GAs) as meta-heuristic methods have been widely applied to this problem. Inspired by biological phenomena, we introduce two immigration operators, random immigration and structured memory immigration, forming two different algorithms. The performance of these algorithms is evaluated using benchmark datasets of symmetric TSP from TSPLIB library. The results of the proposed algorithms are compared with the standard genetic algorithm showing that the proposed algorithms improve the performance of GA in solving TSP problem effectively and specifically with the developed structured memory immigration.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130582260","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}
Using the technique of differential subordination, we, here, find the best dominant having parabolic image for an operator which is a combined form of starlike and convex operators. As special cases of our main results, we obtain the sufficient conditions for parabolic starlike and uniformly convex functions.
{"title":"On Starlike and Convex Functions in a Parabolic Region","authors":"R. Brar, S. S. Billing","doi":"10.12816/0041833","DOIUrl":"https://doi.org/10.12816/0041833","url":null,"abstract":"Using the technique of differential subordination, we, here, find the best dominant having parabolic image for an operator which is a combined form of starlike and convex operators. As special cases of our main results, we obtain the sufficient conditions for parabolic starlike and uniformly convex functions.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130090585","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 the concept of extension of a Q-soft ideals in semigroups has been introduced and some important properties have been studied.
本文引入了半群中q -软理想的可拓概念，并研究了其一些重要性质。
{"title":"Extension of Q-Soft Ideals in Semigroups","authors":"Feysal Hassany, R. Rasuli","doi":"10.12816/0041832","DOIUrl":"https://doi.org/10.12816/0041832","url":null,"abstract":"In this paper the concept of extension of a Q-soft ideals in semigroups has been introduced and some important properties have been studied.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122328376","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 work we introduce an inverse method to analyze simple flows through variable permeability porous layers. Assuming that the velocity distribution is given, or specified as a function of the permeability, the governing equation is solved for the permeability distribution, then the velocity function is then recovered. Poiseuille-type flow involving Brinkman’s equation is considered together with other flow problems involving coupled parallel flow through composite layers. In case of flow through a Brinkman-Forchheimer layer over a Darcy layer, the governing equation was transformed into an Emden-Fowler equation whose solution provides a method for determining Beavers and Joseph slip parameter.
{"title":"Emden-Fowler Equation and Inverse Analysis of Simple Flows through Variable Permeability Porous Layers","authors":"M. Hamdan, M. A. Zaytoon","doi":"10.12816/0041834","DOIUrl":"https://doi.org/10.12816/0041834","url":null,"abstract":"In this work we introduce an inverse method to analyze simple flows through variable permeability porous layers. Assuming that the velocity distribution is given, or specified as a function of the permeability, the governing equation is solved for the permeability distribution, then the velocity function is then recovered. Poiseuille-type flow involving Brinkman’s equation is considered together with other flow problems involving coupled parallel flow through composite layers. In case of flow through a Brinkman-Forchheimer layer over a Darcy layer, the governing equation was transformed into an Emden-Fowler equation whose solution provides a method for determining Beavers and Joseph slip parameter.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121092731","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 Logarithmic Integral Related to Generalized Harmonic Numbers","authors":"Hua Xu, L. Yin","doi":"10.12816/0041830","DOIUrl":"https://doi.org/10.12816/0041830","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122110050","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 introduce the weighted variable exponent spaces of differential forms. After discussing the properties of these spaces.
本文引入了微分形式的加权变指数空间。在讨论了这些空间的性质之后。
{"title":"On the Weighted Variable Exponent Spaces of Differential Forms","authors":"G. Lifeng, Jing Wang, Jinzi Liu","doi":"10.12816/0041805","DOIUrl":"https://doi.org/10.12816/0041805","url":null,"abstract":"In this paper, we introduce the weighted variable exponent spaces of differential forms. After discussing the properties of these spaces.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115539193","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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