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The Numerical Solution of Fractional Differential Algebraic Equations (FDAEs)
Abstract
In this paper, numerical solution of Fractional Differential–Algebraic Equations (FDAEs) is studied. Firstly Fractional Differential–Algebraic Equations (FDAEs) have been converted to power series and then numerical solution of Fractional Differential–Algebraic Equations (FDAEs) is obtained
Keywords
Kaynakça
- B. İbiş, M. Bayram, Numerical comparison of methods for solving fractional differential–algebraic equations (FDAEs), Computers & Mathematics with Applications, Volume 62, Issue 8, October 2011, Pages 3270–3278
- E. Çelik and M. Bayram, On the Numerical Solution of Differential-Algebraic Equation by Padé Series, Applied Mathematics and Computation, 137(2003) 151-160.
- E. Çelik, E. Karaduman and M. Bayram, A Numerical Method to Solve Chemical Differential-Algebraic Equations, International Journal of Quantum Chemistry, 89(2002) 447-451.
- I. Podlubny, Fractional Differential Equations. An Introduction to Fractional Derivatives Fractional Differential Equations Some Methods of their Solution and Some of their Applications, Academic Press, San Diego, 1999.
- J.H. He, Approximate analytical solution for seepage flow with fractional derivatives in porous media, Comput. Methods Appl. Mech. Energy. 167 (1998) 57-68.
- K.B. Oldham, J. Spanier, The Fractional Calculus, Academic Press, New York, 1974.
- K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons Inc., New York, 19 L. R. Petzold, Recent developments in the numerical solution of differential/algebraic systems, Computer Methods in Applied M echanics and Engineering, Volume 75, Issues 1–3, October 1989, Pages 77–89
- M. Bayram and E. Çelik, (2004). Chebysev Approximation for Numerical Solution of Differential-Algebraic Equations(DAEs), International journal of Applied Mathematics&Statistics (IJAMAS), Dec. 29-39.
Ayrıntılar
Birincil Dil
Türkçe
Konular
-
Bölüm
-
Yayımlanma Tarihi
1 Ağustos 2013
Gönderilme Tarihi
13 Mart 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2013 Cilt: 1 Sayı: 2
APA
Karabacak, M., & Çelik, E. (2013). The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs). New Trends in Mathematical Sciences, 1(2), 1-6. https://izlik.org/JA22XE32NH
AMA
1.Karabacak M, Çelik E. The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs). New Trends in Mathematical Sciences. 2013;1(2):1-6. https://izlik.org/JA22XE32NH
Chicago
Karabacak, Mesut, ve Ercan Çelik. 2013. “The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs)”. New Trends in Mathematical Sciences 1 (2): 1-6. https://izlik.org/JA22XE32NH.
EndNote
Karabacak M, Çelik E (01 Ağustos 2013) The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs). New Trends in Mathematical Sciences 1 2 1–6.
IEEE
[1]M. Karabacak ve E. Çelik, “The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs)”, New Trends in Mathematical Sciences, c. 1, sy 2, ss. 1–6, Ağu. 2013, [çevrimiçi]. Erişim adresi: https://izlik.org/JA22XE32NH
ISNAD
Karabacak, Mesut - Çelik, Ercan. “The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs)”. New Trends in Mathematical Sciences 1/2 (01 Ağustos 2013): 1-6. https://izlik.org/JA22XE32NH.
JAMA
1.Karabacak M, Çelik E. The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs). New Trends in Mathematical Sciences. 2013;1:1–6.
MLA
Karabacak, Mesut, ve Ercan Çelik. “The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs)”. New Trends in Mathematical Sciences, c. 1, sy 2, Ağustos 2013, ss. 1-6, https://izlik.org/JA22XE32NH.
Vancouver
1.Mesut Karabacak, Ercan Çelik. The Numerical Solution of Fractional Differential-Algebraic Equations (FDAEs). New Trends in Mathematical Sciences [Internet]. 01 Ağustos 2013;1(2):1-6. Erişim adresi: https://izlik.org/JA22XE32NH