Dépôt DSpace/Manakin
Quantitative Study of Some Fractional Differential Equations With q-Difference
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| dc.contributor.author | ALLOUCH, Nadia | |
| dc.date.accessioned | 2024-09-30T10:52:10Z | |
| dc.date.available | 2024-09-30T10:52:10Z | |
| dc.date.issued | 2024-07-02 | |
| dc.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/26966 | |
| dc.description.abstract | Themaingoalofthisthesisistopresentasetresultsontheexistence,uniquenessandsta- bilityofcertainclassesoftheinitialvalueproblemsandboundaryvalueproblemsforfrac- tional q-differenceequationsandimpulsivefractional q-differenceequationsinvolving Caputo’sfractional q-derivative.Theresultshavebeenprovenanalytically,wheretheex- istenceresultsarebasedonsomeclassicalfixedpointtheorems(Banach,Schaefer,Kras- noselskii, Non-linearalternativeofLeray-Schauder)aswellasMönch’sfixedpointthe- oremcombinedwiththetechniqueofKuratowski’smeasureofnoncompactness,while thestabilityresultsdependonthetechniquesofUlam-HyersstabilityandUlam-Hyers- Rassiasstability.Tosupportourresults,weprovidedifferentillustrativeexamplesineach chapter. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | l’Université de Mostaganem | en_US |
| dc.subject | Fractional q-calculus;Quantumcalculus;Caputofractional q-derivative;Fractional q-differenceequations;Impulsivefractional q-differenceequa- tions;Initialvalueproblem;Boundaryvalueproblem;Banachspace;Existence;Unique- ness;Fixedpointtheorems;Kuratowskimeasureofnoncompactness;Ulam-Hyersstabil- ity;Ulam-Hyers-Rassiasstability | en_US |
| dc.title | Quantitative Study of Some Fractional Differential Equations With q-Difference | en_US |
| dc.type | Thesis | en_US |
