Yazar "Karadeniz, Derya" için listeleme
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Analysis of an axis-symmetric fractional diffusion-wave problem
Özdemir, Necati; Agrawal, O. P; Karadeniz, Derya; İskender, Beyza Billur (IOP Publishing Ltd, 2009)This paper presents an axis-symmetric fractional diffusion-wave problem which is considered in polar coordinates. The dynamic characteristics of the system are described with a partial fractional differential equation in ... -
Fractional diffusion-wave problem in cylindrical coordinates
Özdemir, Necati; Karadeniz, Derya (Elsevier Science Bv, 2008)in this Letter, we present analytical and numerical solutions for an axis-symmetric diffusion-wave equation. For problem formulation. the fractional time derivative is described in the sense of Riemann-Liouville. The ... -
Fractional optimal control of a 2-dimensional distributed system using eigenfunctions
Özdemir, Necati; Agrawal, Om Prakash; İskender, Beyza Billur; Karadeniz, Derya (Springer, 2009)This paper presents an eigenfunctions expansion based scheme for Fractional Optimal Control (FOC) of a 2-dimensional distributed system. The fractional derivative is defined in the Riemann-Liouville sense. The performance ... -
Fractional optimal control problem of a distributed system in cylindrical coordinates
Özdemir, Necati; Karadeniz, Derya; İskender, Beyza Billur (Elsevier Science Bv, 2009)In this work, Fractional Optimal Control Problem (FOCP) of a Distributed system is investigated in cylindrical coordinates. Axis-symmetry naturally arises in the problem formulation. The fractional time derivative is ... -
Fractional optimal control problem of an axis-symmetric diffusion-wave propagation
Özdemir, Necati; Agrawal, O. P; Karadeniz, Derya; İskender, Beyza Billur (IOP Publishing Ltd, 2009)This paper presents the formulation of an axis-symmetric fractional optimal control problem (FOCP). Dynamic characteristics of the system are defined in terms of the left and right Riemann-Liouville fractional derivatives ... -
Kesirli yayılım-dalga denklemlerinin silindirik koordinatlarda incelenmesi
Karadeniz, Derya (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2008)Kesirli Analiz, tamsayı mertebeli türev ve integralin keyfi mertebeye bir genişlemesidir. Pek çok fiziksel sistem ve süreç kesirli türevler kullanılarak gerçeğe daha yakın olarak modellenebilir. Bu yüzden son yıllarda ...