Aksoy, Ümit

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Profile URL
https://hdl.handle.net/20.500.14411/6803
Name Variants
U., Aksoy
A., Umit
Ü., Aksoy
Aksoy,U.
Aksoy,Umit
Aksoy, Umit
Umit, Aksoy
U.,Aksoy
Ü.,Aksoy
Ümit Aksoy
A.,Umit
Aksoy U.
Aksoy, Ümit
Aksoy,Ü.
Ümit, Aksoy
A., Ümit
A.,Ümit
Aksoy, U.
Aksoy, Ue.
Aksoy, Ue
Job Title
Profesör Doktor
Email Address
umit.aksoy@atilim.edu.tr
Main Affiliation
Mathematics
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ORCID ID
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WoS Researcher ID

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Scholarly Output

42

Articles

33

Views / Downloads

74/58

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

732

Scopus Citation Count

715

Patents

0

Projects

0

WoS Citations per Publication

17.43

Scopus Citations per Publication

17.02

Open Access Source

6

Supervised Theses

2

JournalCount
Complex Variables and Elliptic Equations6
Filomat3
Integral Transforms and Special Functions2
Applied and Computational Mathematics2
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas2
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Author: Aksoy, ÜmitSubject: Fixed Point

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    Article
    Citation - WoS: 146
    Citation - Scopus: 168
    On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Adiguzel, Rezan Sevinik; Sevinik Adıgüzel, Rezan; Aksoy, Umit; Aksoy, Ümit; Karapinar, Erdal; Karapınar, Erdal; Erhan, Inci M.; Erhan, İnci; Sevinik Adıgüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci; Mathematics; Mathematics; Mathematics
    The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions.