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https://dspace.univ-ouargla.dz/jspui/handle/123456789/33305
Title: | On some fractional differential problems of variable order |
Authors: | TELLAB, Brahim Belkheiri, Brahim |
Keywords: | fractional differential equations integral equations fixed point theory generalize dintervals Ulamstabilit équations différentielles fractionnaires équations intégrales théorie du point fixe intervalles généralisés sabilitée d’Ulam. |
Issue Date: | 2023 |
Publisher: | Université Kasdi-Merbah Ouargla |
Abstract: | Themainobjectiveofthisworksconcernssomeresultsofexistenceandstabilityofsolutionsofboundrayvalueproblemsofvariable-orderCaputotypefractionaldifferntialequation.Allresultsinthisstudyareestablishedwiththehelpofthegeneralizedintervalsandpiecewiseconstantfunction,weconverttheCaputofractionalvariableordertoanequivalentstandardCaputo of the fractional constant order.We illustrate our main results by adifferentexamplestovalidateourstudy. L’objectifprincipaldecetravailconcernequelquesr´esultatsd’existenceetde stabilit´edesolutionsd’´equationdiff´erentiellefractionnairedetypeCaputod’ordre variable.Touslesr´esultatsdecette´étudesont´établis`al’aidedes intervallesg´en´eralis´esetdelafonctionconstanteparmorceaux,nouscon- vertissonsl’ordrevariablefractionnairedeCaputoenunCaputostandard ´equivalentdel’ordreconstantfractionnaire.Nousillustronsnosprincipaux r´esultatspardiff´erentsexemplespourvalidernotre´etude. |
Description: | Functional analysis |
URI: | https://dspace.univ-ouargla.dz/jspui/handle/123456789/33305 |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Belkheiri-Brahim.pdf | 431,73 kB | Adobe PDF | View/Open |
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