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Avkar, Tansel

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https://hdl.handle.net/20.500.12416/9154
Name Variants
Avkar, T
Job Title
Arş. Gör.
Email Address
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
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Scopus Author ID
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WoS Researcher ID

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Scholarly Output

3

Articles

1

Views / Downloads

744/9

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

170

Scopus Citation Count

187

WoS h-index

2

Scopus h-index

1

Patents

0

Projects

0

WoS Citations per Publication

56.67

Scopus Citations per Publication

62.33

Open Access Source

0

Supervised Theses

1

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International Workshop on Global Analysis -- APR 15-17, 2004 -- Cankaya Univ, Ankara, TURKEY1
Nuovo Cimento della Societa Italiana di Fisica B1
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Now showing 1 - 3 of 3
  • Thumbnail Image
    Master Thesis
    Fractional differential equations and their applications
    (2004) Avkar, Tansel
    The Laplace transform method for solving fractional differential equations is pre sented. The fractional diffusion and fractional Schrödinger equations together with their properties are investigated. The Lagrangians linear in velocities are analyzed using the fractional calculus, and the fractional Euler-Lagrange equations are derived
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    Conference Object
    Citation - WoS: 2
    Fractional Euler-Lagrange Equations for Constrained Systems
    (Amer inst Physics, 2004) Avkar, Tansel; Avkar, T; Baleanu, D; Baleanu, Dumitru; Matematik
    The fractional calculus is the name for the theory of integrals and derivatives of arbitrary order, which generalize the notions of n-fold integration and integer-order differentiation. Differential equations of fractional order appear in certain applied problems and in theoretical researches. In this paper, the Euler-Lagrange equations of the Lagrangians linear in velocities were derived using the fractional calculus. Two examples of constrained systems possessing a gauge invariance are investigated in details, the explicit solutions of Euler-Lagrange equations are obtained, and the recovery of the classical results is discussed.
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    Article
    Citation - WoS: 168
    Citation - Scopus: 187
    Lagrangians With Linear Velocities Within Riemann-Liouville Fractional Derivatives
    (Soc Italiana Fisica, 2004) Baleanu, D; Avkar, T
    Lagrangians linear in velocities were analyzed using the fractional calculus and the Euler-Lagrange equations were derived. Two examples were investigated in details; the explicit solutions of Euler-Lagrange equations were obtained and the recovery of the classical results was discussed.