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International Journal of Computer Mathematics Volume 85, 2008 - Issue 1
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Original Articles

A new analytical approximate method for the solution of fractional differential equations

Galip Oturanç Department of Mathematics, University of Selcuk, Kampus, 42079, Konya, Turkey
,
Aydin Kurnaz Department of Mathematics, University of Selcuk, Kampus, 42079, Konya, TurkeyCorrespondence[email protected]
&
Yildiray Keskin Department of Mathematics, University of Selcuk, Kampus, 42079, Konya, Turkey
Pages 131-142 | Received 22 Jan 2007, Accepted 25 Mar 2007, Published online: 31 Dec 2007

Citations (13)

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Read on this site (4)

Abdolali Neamaty, Milad Yadollahzadeh, Rahmat Darzi & Bahram Agheli. (2016) On the existence and uniqueness of solutions to a new class of fractional boundary value problems. International Journal of Computer Mathematics 93:9, pages 1611-1627.
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Sha Wang, Yongguang Yu & Miao Diao. (2010) Application of multistage homotopy-perturbation method in hybrid synchronization of chaotic systems. International Journal of Computer Mathematics 87:13, pages 3007-3016.
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Ahmet Yıldırım. (2010) He's homotopy perturbation method for solving the space- and time-fractional telegraph equations. International Journal of Computer Mathematics 87:13, pages 2998-3006.
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Shaher Momani & Ahmet Yıldırım. (2010) Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method. International Journal of Computer Mathematics 87:5, pages 1057-1065.
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Articles from other publishers (9)

Yalçın Öztürk & Mutlu Ünal. (2021) Numerical solution of fractional differential equations using fractional Chebyshev polynomials. Asian-European Journal of Mathematics 15:03.
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Pratibha Verma & Manoj Kumar. (2020) Analytical solution with existence and uniqueness conditions of non-linear initial value multi-order fractional differential equations using Caputo derivative. Engineering with Computers 38:1, pages 661-678.
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Ayad R. Khudair, S.A.M. Haddad & Sanaa L. khalaf. (2017) Restricted fractional differential transform for solving irrational order fractional differential equations. Chaos, Solitons & Fractals 101, pages 81-85.
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D. Boucherma, A. Charef & H. Nezzari. (2015) The solution of state space linear fractional system of commensurate order with complex eigenvalues using regular exponential and trigonometric functions. International Journal of Dynamics and Control 5:1, pages 79-94.
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K. M. Saad, E. H. AL-Shareef, Mohamed S. Mohamed & Xiao-Jun Yang. (2017) Optimal q-homotopy analysis method for time-space fractional gas dynamics equation. The European Physical Journal Plus 132:1.
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Djamel Boucherma, Abdelfatah Charef & Hassene Nezzari. 2017. Recent Advances in Electrical Engineering and Control Applications. Recent Advances in Electrical Engineering and Control Applications 259 275 .
Mehmet Merdan, Ahmet Gökdoğan & Ahmet Yildirim. (2012) On numerical solution to fractional non-linear oscillatory equations. Meccanica 48:5, pages 1201-1213.
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Abdelfatah Charef & Djamel Boucherma. (2011) Analytical solution of the linear fractional system of commensurate order. Computers & Mathematics with Applications 62:12, pages 4415-4428.
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Yücel Çenesiz, Yıldıray Keskin & Aydın Kurnaz. (2010) The solution of the Bagley–Torvik equation with the generalized Taylor collocation method. Journal of the Franklin Institute 347:2, pages 452-466.
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