SUR LE (p,q)-CALCUL FRACTIONNAIRE

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SUR LE (p,q)-CALCUL FRACTIONNAIRE

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dc.contributor.author BEKRAOUI, Zahia
dc.contributor.author KHALLADI, Mohammed Taha / promoteur
dc.date.accessioned 2022-12-21T12:19:08Z
dc.date.available 2022-12-21T12:19:08Z
dc.date.issued 2022
dc.identifier.uri https://dspace.univ-adrar.edu.dz/jspui/handle/123456789/7502
dc.description Option : Analyse Fonctionnelle et Applications en_US
dc.description.abstract Le but principal de ce mÈmoire consiste en líÈtude de concepts et rÈsultats les plus importants de la thÈorie du (p; q)-calcul fractionnaire en Ètudiant notament la (p; q)-dÈrivÈe fractionnaire et la (p; q)-intÈgrale fractionnaire ainsi que leurs propriÈtÈs ÈlÈmentaires. on donne Ègalement une application aux Èquations aux q-dÈrivÈes partielles ainsi quíune application de la (p; q)-transformation de Laplace ‡ certaines Èquations aux (p; q)-di§Èrentelles. en_US
dc.description.abstract The main purpose of this thesis consists in the study of the most important concepts and results of the theory of (p; q)-fractional calculus by studying in particular the (p; q)- fractional derivative and the (p; q)-fractional integral and their basic properties. we also give an application to partial q-derivative equations as well as an application of the (p; q)-Laplace transformation to certain (p; q)-di§erential equations.
dc.language.iso fr en_US
dc.publisher UNIVERSITE AHMED DRAIA- ADRAR en_US
dc.subject MathÈmatiques en_US
dc.subject Analyse Fonctionnelle et Applications en_US
dc.subject (p; q)-calcul fractionnaire en_US
dc.subject (p; q)-dÈrivÈe fractionnaire en_US
dc.subject , (p; q)-intÈgrale fraction en_US
dc.subject (p; q)-InÈgalitÈ intÈgrale de Hˆlder en_US
dc.subject (p; q)-InÈgalitÈ intÈgrale díHermite-Hadamard en_US
dc.subject p; q)- transformation de Laplace en_US
dc.subject Equation aux q-dÈrivÈes partielles, Equation (p; q)-di§Èrentelle en_US
dc.subject (p; q)-fractional calculus, (p; q)-fractional derivative, (p; q)-fractional integral, (p; q)-Hˆlder integral inequality,(p; q)-Hermite-Hadamar integral inequality, (p; q)-Laplace trans formation, Partial q-derivative equation,(p; q)-di§erential equat en_US
dc.title SUR LE (p,q)-CALCUL FRACTIONNAIRE en_US
dc.type Thesis en_US


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