Existence of Solutions of Fractional Differential Equations

dc.contributor.advisorMahmudov, Nazim I.
dc.contributor.authorUnul, Sinem
dc.date.accessioned2020-10-14T10:24:04Z
dc.date.available2020-10-14T10:24:04Z
dc.date.issued2016
dc.date.submitted2016
dc.descriptionDoctor of Philosophy in Applied Mathematics and Computer Science. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2016. Supervisor: Prof. Dr. Nazim I. Mahmudov.en_US
dc.description.abstractThis thesis is aimed to study the existence of mild solutions of a class of fractional differential equations with different boundary conditions. By using fixed point theorems, the existence results about mild solutions are expected to obtain. A strong motivation for studing fractional differential equations comes from the fact, that is essential in various fields of science, engineering and economics. Keywords: Differential equations, integral boundary conditions, irregular boundary conditions, p-laplacian operator.en_US
dc.description.abstractÖZ: Bu tez farklı sınırlı ko¸sullar altında verilen kesirli diferansiyel denklemlerin çözümleri üzerinde çalı¸smayı amaçlamaktadır. Çözümlerin analitik sonuçları, sabit nokta teoremleri ve uygulamaları kullanılarak bulunmu¸stur. Kesirli diferansiyel denklem çalı¸smalarındaki etkin motivasyon, bu konunun bilim, mühendislik ve ekonomide gereklili˘ginden ileri gelmektedir. Anahtar Kelimeler: Diferansiyel denklemler, integral sınır ko¸sulları, düzensiz sınır ko¸sulları, p-laplasyan operatörü.en_US
dc.identifier.citationUnul, Sinem. (2016). Existence of Solutions of Fractional Differential Equations. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.orcidEastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematicsen_US
dc.identifier.urihttps://hdl.handle.net/11129/4656
dc.language.isoen
dc.publisherEastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)en_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectApplied Mathematics and Computer Scienceen_US
dc.subjectDifferential Equationsen_US
dc.subjectDifferential equationsen_US
dc.subjectintegral boundary conditionsen_US
dc.subjectirregular boundary conditionsen_US
dc.subjectp-laplacian operatoren_US
dc.titleExistence of Solutions of Fractional Differential Equationsen_US
dc.typeDoctoral Thesis

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