Solution of fractional integro-differential equations by using fractional differential transform method
By A. Arıkoğlu, I. Ozkol. 2009
232 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/33c72f35b33e850679648c6074a62568d0135a4f
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In Applied Mathematics
- Mohsen Razzaghi
- Yadollah Ordokhani
- Abbas Saadatmandi
- Mehdi Dehghan
- Veysel Fuat Hatipoğlu
- Elham Keshavarz
- Sertan Alkan
- Ali Shokri
In Modeling and Simulation
- Yadollah Ordokhani
- Mehdi Dehghan
- Abbas Saadatmandi
- Mohsen Razzaghi
- Elham Keshavarz
- Veysel Fuat Hatipoğlu
- Sertan Alkan
- Ali H. Bhrawy
In Numerical Analysis
- Yadollah Ordokhani
- Mohsen Razzaghi
- Abbas Saadatmandi
- Mehdi Dehghan
- Elham Keshavarz
- Veysel Fuat Hatipoğlu
- Sertan Alkan
- Ali H. Bhrawy
Citations in the corpus
- Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order (2017, methodology): “Some numerical algorithm for solving integrodifferential equation of fractional order can be summarized as follows: but not limited to; Adomian decomposition method [16, 18, 19], Laplace decomposition method [32], Taylor expansion method [9], least squares method [17] differential transform method [”
- A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS (2010, unknown): “Arikoglu and Ozkol [ 1 ] extended the fractional differential transform method (FDTM), which is a semi-analytical numerical technique, to solve the above problem.”
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations (2014, methodology): “These methods include Fourier transforms [8], eigenvector expansion [9], Laplace transforms [10], Adomian decomposition method [11], variational iteration method [12], finite difference method (FDM) [13], the power series method [14], fractional differential transform method (FDTM) [15] and homotopy”
- A Legendre collocation method for fractional integro-differential equations (2011, methodology): “Example 1: Consider the following fractional integrodifferential equation (Arikoglu and Ozkol, 2009; Rawashdeh, 2006): D0:75yðxÞ ¼ e xx2 5 yðxÞ þ 6x 2:25 ð3:25Þ þ Z x 0 extyðtÞ dt, ð26Þ with the initial condition yð0Þ ¼ 0: ð27Þ We apply the method presented in this paper with m¼ 3, and we…”