32 research outputs found
Integral Inequalities and Differential Equations via Fractional Calculus
In this chapter, fractional calculus is used to develop some results on integral inequalities and differential equations. We develop some results related to the Hermite-Hadamard inequality. Then, we establish other integral results related to the Minkowski inequality. We continue to present our results by establishing new classes of fractional integral inequalities using a family of positive functions; these classes of inequalities can be considered as generalizations of order
n
for some other classical/fractional integral results published recently. As applications on inequalities, we generate new lower bounds estimating the fractional expectations and variances for the beta random variable. Some classical covariance identities, which correspond to the classical case, are generalised for any
α
â„
1
,
ÎČ
â„
1
. For the part of differential equations, we present a contribution that allow us to develop a class of fractional chaotic electrical circuit. We prove recent results for the existence and uniqueness of solutions for a class of Langevin-type equation. Then, by establishing some sufficient conditions, another result for the existence of at least one solution is also discussed
MWAND: A New Early Termination Algorithm for Fast and Efficient Query Evaluation
Nowadays, current information systems are so large and maintain huge amount of data. At every time, they process millions of documents and millions of queries. In order to choose the most important responses from this amount of data, it is well to apply what is so called early termination algorithms. These ones attempt to extract the Top-K documents according to a specified increasing monotone function. The principal idea behind is to reach and score the most significant less number of documents. So, they avoid fully processing the whole documents. WAND algorithm is at the state of the art in this area. Despite it is efficient, it is missing effectiveness and precision. In this paper, we propose two contributions, the principal proposal is a new early termination algorithm based on WAND approach, we call it MWAND (Modified WAND). This one is faster and more precise than the first. It has the ability to avoid unnecessary WAND steps. In this work, we integrate a tree structure as an index into WAND and we add new levels in query processing. In the second contribution, we define new fine metrics to ameliorate the evaluation of the retrieved information. The experimental results on real datasets show that MWAND is more efficient than the WAND approach
A THREE FRACTIONAL ORDER JERK EQUATION WITH ANTI PERIODIC CONDITIONS
We study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Utilizing Krasnoselskii fixed point theorem we prove another existence result governing at least one solution. We provide an illustrative example to claim our established results. At the end, an approximation for Caputo derivative is proposed and some chaotic behaviours are discussed by means of the Runge Kutta 4th order method
SARI, Camille et MEBTOUL, Abderrahmane (dir.) (2015) Quelle gouvernance et quelles institutions au Maghreb face aux enjeux gĂ©ostratĂ©giques ? Paris, LâHarmattan, 416 p. (ISBN 978-2-343-05467-4)
LâAlgĂ©rie face aux dĂ©rives intĂ©rieures et extĂ©rieures de lâĂ©conomie grise
PrĂ©sente dans tous les pays du monde quel que soit leur degrĂ© de dĂ©veloppement, lâĂ©conomie grise, qui recouvre lâensemble des activitĂ©s Ă©conomiques Ă©chappant au contrĂŽle de la collectivitĂ©, demeure pourtant mal dĂ©finie. En effet, la plupart des auteurs qui traitent de lâĂ©conomie souterraine peinent encore Ă en donner une dĂ©finition prĂ©cise. Quelles que soient les appellations proposĂ©es â « économie parallĂšle », « économie souterraine », « marchĂ© noir », « économie illĂ©gale », « économie infor..
The contribution of the administrative judge to state right in the African states French : the example of Algeria and Senegal
CommunĂ©ment perçu comme vecteur de dĂ©mocratie, de libertĂ©, dâĂ©galitĂ© et plus gĂ©nĂ©ralement de justice, lâĂtat de droit est devenu incontournable. Le concept est passĂ© de la thĂ©orie juridique au droit positif et s'est progressivement Ă©tendu au champ politique, d'abord Ă l'Ă©chelle europĂ©enne, avant d'Ă©tendre son rayonnement Ă l'Afrique, et notamment aux Ătats d'Afrique francophone, parmi lesquels l'AlgĂ©rie et le SĂ©nĂ©gal. Lâexistence et le bon fonctionnement de lâĂtat de droit, dans lequel lâĂtat en tant que dĂ©tenteur de la souverainetĂ© accepte de se soumettre au droit, et donc au contrĂŽle du juge, ne sont jamais acquis. Comme tout systĂšme, il sera souvent ce que les institutions et les circonstances historiques en feront. Son maintien suppose donc que chaque acteur concernĂ© puisse jouer sa partition pour en garantir le bon fonctionnement. C'est d'autant plus vrai dans les pays oĂč l'Ătat de droit reste Ă consolider. DĂšs lors, on est amenĂ© Ă sâinterroger sur la nature de la contribution que peut apporter le juge administratif Ă lâĂtat de droit, dans lâun et lâautre paysCommonly perceived as vector for democracy, freedom, equality and justice more generally, the rule of law has become essential. The concept grew from the legal theory of positive law and gradually extended to the political field, first at European level, before extending its reach to Africa, including the French-speaking African states, including Algeria and Senegal. The existence and proper functioning of the rule of law, in which the state as the sovereign holder agrees to submit to the law, and therefore to judicial review, are never acquired. Like any system, it is often that the institutions and historical circumstances will. Its maintenance is therefore assumed that each player concerned to play its part to ensure proper operation. This is especially true in countries where the rule of law remains a challenge. Consequently, one is led to wonder about the nature of the potential contribution the administrative judge to rule of law in both countrie
Le Maghreb et son sud
« La colonisation a balkanisĂ© lâAfrique ! », accusent les dirigeants dâun continent qui se fixent pour projet officiel de (re)trouver une unitĂ© perdue. Le Sahara est-il un obstacle objectif, dĂ©finitif, Ă cette unitĂ© ? Non, si lâon en croit les synthĂšses ici prĂ©sentĂ©es sur les stratĂ©gies des pays du Maghreb en direction de leur Sud et sur les relations de toutes natures entre le Maghreb et lâAfrique sub-saharienne. Politiques africaines de lâAlgĂ©rie et du Maroc, politique de lâAfrique du Sud vis-Ă -vis du Maghreb, mutations de la gĂ©opolitique saharienne aprĂšs lâeffondrement du rĂ©gime libyen, consĂ©quences pour la rĂ©gion de la sĂ©cession dâun Nord-Mali contrĂŽlĂ© par les islamistes radicaux, importance des Ă©changes Ă©conomiques (formels et informels) et des Ă©changes humains de part et dâautre du Sahara : tous ces thĂšmes, ici traitĂ©s par des spĂ©cialistes reconnus, Ă©clairent sous diffĂ©rents jours les relations entre le Maghreb et lâAfrique subsaharienne. Ils rĂ©vĂšlent que les migrants subsahariens qui sâinstallent dĂ©sormais dans les pays du Maghreb ne font quâexprimer lâunitĂ© croissante dâun espace jusquâici renvoyĂ© Ă des logiques gĂ©opolitiques divergentes, et renouvellent aussi la vision que nous, EuropĂ©ens, pouvons avoir de notre Sud
Modélisation du dépÎt electroless de cuivre
TOULOUSE-ENSIACET (315552325) / SudocSudocFranceF
ModÚles expérimentaux de mort neuronale par déplétion en glutathion (rÎle de la mitochondrie dans l'homéostasie neuronale)
PARIS5-BU-Necker : Fermée (751152101) / SudocSudocFranceF