Boundary problems of fractional differential equations according to the Hadamard derivative and integralapproach. Theoretical and numerical aspects.

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dc.contributor.authorDJERIBA Hichem
dc.date.accessioned2022-10-27T08:22:25Z
dc.date.available2022-10-27T08:22:25Z
dc.date.issued2021-12-06
dc.description.abstractThe objective of this thesis is to search for solutions of fractional differential equations where we use Haddamard derivatives and presents the analytical solutions of the Fractional Burgers Kuramoto KdV equation and one-dimensional Fractional diffusion equations by the variational iteration method and Adomian's decomposition method. By using initial conditions, the explicit solutions of the Burgers Kuramoto Kdv equation and one-dimensional Fractional diffusion equations have been presented. The fractional derivatives are considered according to Hadamard's approach. Examples are given to illustrate the implementation of the variational iteration method and Adomian's decomposition method for fractional Burgers Kuramoto KdV equation and one-dimensional Fractional di usion equations.
dc.formatpdf
dc.identifier.urihttps://dspace.univ-oran1.dz/handle/123456789/235
dc.language.isoen
dc.publisherUniversité Oran1 Ahmed Ben Bella
dc.subjectHadamard Derivatives
dc.subjectFractional Calculus
dc.subjectFractional Diffusion Equation
dc.subjectFractional Burgers Kuramoto
dc.subjectKdv Equation
dc.subjectVariational Iteration Method
dc.subjectAdomain's Decom-Position Method
dc.subjectFractional Derivatives
dc.subjectDimensional Fractional
dc.titleBoundary problems of fractional differential equations according to the Hadamard derivative and integralapproach. Theoretical and numerical aspects.
dc.typeThesis
grade.ExaminateurAIi HAKEM, Professeur, Université Djilali LIABES
grade.ExaminateurBENABDELLAH Mehdi, Professeur, Université USTO MB
grade.ExaminateurBOUDAOUD Fatima, Professeur, Université Oran 1
grade.ExaminateurMEZEGHRANI Fatima Zohra, Professeur, Université Oran 1
grade.InviteHAMDI CHERIF Mountassir, MCA, E.S.G. E.E Oran
grade.PrésidentLekhmissi BELAIB, Professeur, Université Oran 1
grade.RapporteurKacem BELGHABA , Professeur, Université Oran 1
l'article.1.DateParution11/03/2021
l'article.1.RevueCommunications in Mathematics and Applications
l'article.1.RéférenceCommunications in Mathematics and Applications, Vol. 12, No. 2, pp.241- 251, 2021, DOI: 10.26713/cma.v12i2.1505
l'article.1.TitreFractional Variational lteration Method and Adomian's Decomposition Method: Applications to Fractional Burgers Kuramoto KdV Equation via Hadamard Derivative
la.MentionTrès honorables
la.SpécialitéMathématiques et applications
la.coteTH5282
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Thèses de Doctorat "Mathématique"