×
Nazari, D.; Shahmorad, S.

Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions. (English) Zbl 1188.65174

J. Comput. Appl. Math. 234, No. 3, 883-891 (2010).
Summary: The fractional differential transform method is developed to solve fractional integro-differential equations with nonlocal boundary conditions. The method is described and illustrated with numerical examples. The results reveal that the method is accurate and easy to apply.

Cited in 50 Documents

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals

Keywords:

differential transform method; integro-differential equations; nonlocal boundary conditions; numerical examples
PDF BibTeX XML Cite
\textit{D. Nazari} and \textit{S. Shahmorad}, J. Comput. Appl. Math. 234, No. 3, 883--891 (2010; Zbl 1188.65174)
Full Text: DOI

References:

[1] Zhou, J. K., Differential Transfomation and its Application for Electrical Circuits (1986), Huazhong University Press: Huazhong University Press Wuhan, China, (in Chinese)
[2] Fatma, Ayaz, Solution of the system of differential equations by differential transform, Applied Mathematics and Computation, 147, 547-567 (2004) · Zbl 1032.35011
[3] Arikoglu, A.; Ozkol, I., Solution of fractional differential equations by using differential transform method, Chaos, Solitons & Fractals, 34, 1473-1481 (2007) · Zbl 1152.34306
[4] Momani, S.; Noor, M. A., Numerical methods for fourth order fractional integro-differential equations, Applied Mathematics and Computation, 182, 754-760 (2006) · Zbl 1107.65120
[5] Momani, S.; Qaralleh, A., An efficient method for solving systems of fractional integro-differential equations, Applied Mathematics and Computation, 52, 452-470 (2006) · Zbl 1137.65072
[6] Rawashdeh, E. A., Numerical solution of fractional integro-differential equations by collocation method, Applied Mathematics and Computation, 176, 1-6 (2006) · Zbl 1100.65126
[7] Arikoglu, A.; Ozkol, I., Solution of fractional integro-differential equations by using fractional differential transform method, Chaos, Solitons & Fractals (2007) · Zbl 1152.34306
[8] Odibat, Z. M., Differential transform method for solving Volterra integral equation with separable kernels, Mathematics and Computer Modelling, 48, 1144-1149 (2008) · Zbl 1187.45003
[9] Erturk, Vedat Suat; Momani, Shaher, Solving system of fractional differential equations using differential transform method, Journal of Computational and Applied Mathematics, 214, 142-151 (2008) · Zbl 1141.65088
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.