Thèses en ligne de l'université 8 Mai 1945 Guelma
On the study of some types of differential equations of fractional orders
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| dc.contributor.author | HALLACI, Ahmed | |
| dc.date.accessioned | 2018-07-19T07:59:26Z | |
| dc.date.available | 2018-07-19T07:59:26Z | |
| dc.date.issued | 2017 | |
| dc.identifier.uri | http://dspace.univ-guelma.dz:8080/xmlui/handle/123456789/510 | |
| dc.description.abstract | Thesubjectoffractionaldi¤erentialequationshasgainedconsiderablepopularity andimportanceduringthepastthreedecadesorso,duemainlytoitsdemonstrated applicationsinnumerousseeminglydiverseandwidespread eldsofscienceand engineering.Itdoesindeedprovideseveralpotentiallyusefultoolsforsolvingdi¤er- entialandintegralequationsaswellastheirimportanceinthemodelingofalotof physicalphenomenaassociatedtoveryrapidandveryshortchanges. Ontheotherhand,existence,uniquenessandstabilityofsolutions,represent a largepartofthequalitativetheoryofnonlinearordinaryandpartialdi¤erential equationsofnon-integerorder.Whereweareinterestedinthisthesisonthediscus- sionofqualitativeanalysisofsomekindsoffractionalordinarydi¤erentialequations andfractinalpartialdi¤erentialequations.Tothisend,weutilizethe xedpoint theoremsofBanach,SchauderandKrasnoselskiiinBanachspacesforfractionalor- dinarydi¤erentialequationsaswellasRothediscretizationmethodisusedtoshow theexistenceanduniquenessofweaksolutionforfractionaldi¤usionequationof thesecond-orderdi¤erentialVolterraoperatorinHilbertspace.Toguaranteethe e¤ectivenessandusefulnessofourobtainedresultstheoretically,someillustrative examplesaregiven. | en_US |
| dc.language.iso | en | en_US |
| dc.subject | Fractionaldi¤erentialequations,fractionaldi¤usionequation,initial valueproblems,boundaryvalueproblems,unboundedinterval,mixedderivatives, | en_US |
| dc.title | On the study of some types of differential equations of fractional orders | en_US |
| dc.type | Thesis | en_US |
