DÉRIVATION FRACTIONNAIRE APPLIQUÉE À L’ÉTUDE DE DEUX PROBLÈMES DIFFÉRENTIELS FRACTIONNAIRES NON-LINÉAIRES

dc.contributor.authorMEGTAITI, Sihem
dc.contributor.authorHAMMOUDI, Ahmed
dc.date.accessioned2024-12-15T10:49:00Z
dc.date.available2024-12-15T10:49:00Z
dc.date.issued2020
dc.description.abstractThe principle of fractional derivation has many applications. It intervenes in the resolution of several nonlinear fractional problems in particular, in the study of existence and uniqueness. This paper discusses different appliquations of this principle as well as some of its extensions and generalizations that involve in the resolution of nonlinear fractional differential problems.We demonstrate the existence and uniqueness of solutions using the principle of Banach contactions and the fixed point theorems of Schaefer and Kranoselskii.en_US
dc.identifier.urihttp://dspace.univ-temouchent.edu.dz/handle/123456789/5935
dc.language.isofren_US
dc.subjectEquation différentielle fractionnaire non linéaire, problème aux limites,dérivée fractionnaire de Riemann, dérivée fractionnaire de Caputo, dérivée fractionnaire de Grunwald-Letnikov, intégrale fractionnaire de Riemann-Liouville,théorie du point fixe.en_US
dc.subjectNonlinear fractional differential equation,boundary condition problem, Riemann fractional derivative,Caputo fractional derivative,fractional derivative of Grunwald-Letnikov,fractional integral of Riemann-Liouville, fixed-point theory.en_US
dc.titleDÉRIVATION FRACTIONNAIRE APPLIQUÉE À L’ÉTUDE DE DEUX PROBLÈMES DIFFÉRENTIELS FRACTIONNAIRES NON-LINÉAIRESen_US
dc.typeThesisen_US

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