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Title: | SUR LE (p,q)-CALCUL FRACTIONNAIRE |
Authors: | BEKRAOUI, Zahia KHALLADI, Mohammed Taha / promoteur |
Keywords: | MathÈmatiques Analyse Fonctionnelle et Applications (p; q)-calcul fractionnaire (p; q)-dÈrivÈe fractionnaire , (p; q)-intÈgrale fraction (p; q)-InÈgalitÈ intÈgrale de Hˆlder (p; q)-InÈgalitÈ intÈgrale díHermite-Hadamard p; q)- transformation de Laplace Equation aux q-dÈrivÈes partielles, Equation (p; q)-di§Èrentelle (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 |
Issue Date: | 2022 |
Publisher: | UNIVERSITE AHMED DRAIA- ADRAR |
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. 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. |
Description: | Option : Analyse Fonctionnelle et Applications |
URI: | https://dspace.univ-adrar.edu.dz/jspui/handle/123456789/7502 |
Appears in Collections: | Mémoires de Master |
Files in This Item:
File | Description | Size | Format | |
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mémoire finale bekraoui.pdf | 819.82 kB | Adobe PDF | View/Open |
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