Etude de certains problèmes d’équations différentielles fractionnaires

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dc.contributor.authorCHOHRI Mohamed
dc.date.accessioned2025-12-17T08:02:51Z
dc.date.available2025-12-17T08:02:51Z
dc.date.issued2025-09-25
dc.description.abstractIn this Thesis, we employ Mawhin’s theory of degree of coincidence to study the existence and uniqueness result for a class of problem for nonlinear implicit fractional differential equations (NIFDE ) with Caputo’s exponential fractional derivative and for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Finally we are discussing the periodic solutions for the implicit problem with nonlinear fractional pantograph differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. Several enlightening examples are also presented to demonstrate the applicability of our results.
dc.formatPDF
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/4874
dc.language.isofr
dc.publisherUniversité Oran1
dc.subjectCaputo’s exponential fractional derivative; Tempered fractional operators; implicit fractional; fractional integral existence; periodic solutions; coincidence degree theory; differential equations.
dc.titleEtude de certains problèmes d’équations différentielles fractionnaires
dc.typeThesis
grade.Co-rapporteurAIBOUDI Mohammed, Professeur, Université Oran 1
grade.ExaminateurHADDOUCHI Fouzi, Professeur, USTO MB
grade.ExaminateurLAZREG Jamal Eddine, Professeur, Université Djillali Liabès SBA
grade.ExaminateurTLEMCANI Mounir, Professeur, USTO Oran MB
grade.GradeDoctorat sciences
grade.InviteBOUDJEMA DJEFFAL Khaled, MCA, Université Hassiba Benbouali Chlef
grade.OptionAnalyse Mathématiques et Applications.
grade.PrésidentSMAIL Abderrahmane, Professeur, Université Oran 1
grade.RapporteurBOURIAH Soufyane, MCA, Université Hassiba Benbouali Chlef
l'article.1.DateParution2023
l'article.1.RevueAdvances in the Theory of Nonlinear Analysis and its Applications
l'article.1.RéférenceAdvances in the Theory of Nonlinear Analysis and its Applications 7 (2023) No. 1, 103_120. ISSN : 2587-2648
l'article.1.TitreOn Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative
l'article.2.DateParution2024
l'article.2.RevueJournal of Nonlinear and Convex Analysis
l'article.2.RéférenceJournal of Nonlinear and Convex Analysis Volume 25, Number 7, 2024, 1583-1597 ISSN : 1880-5221
l'article.2.TitreOn Existence of Periodic Solutions for Nonlinear Implicit Differential Equations of Fractional Order in the Sense of Caputo’s exponential Fractional Derivative
la.MentionTrès Honorables
la.SpécialitéMathématiques
la.coteTH5628
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