NUMERICAL SOLUTION OF MULTI-ORDERFRACTIONAL DI ERENTIAL EQUATIONS VIA THESINC COLLOCATION METHOD

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HESAMEDDINI E.; ASADOLLAHIFARD E.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2015 | Volume:5 | Issue:1 Page(s): 37-48

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Information Journal Paper

Title

NUMERICAL SOLUTION OF MULTI-ORDERFRACTIONAL DI ERENTIAL EQUATIONS VIA THESINC COLLOCATION METHOD

Author(s)

HESAMEDDINI E. | ASADOLLAHIFARD E. | Issue Writer Certificate

Keywords

SINC FUNCTIONQ2

FRACTIONAL DIQ2

ERENTIAL EQUATIONSQ2

MULTI-ORDERFDESQ1

COLLOCATION METHODQ1

Abstract

In this paper, the sinc COLLOCATION METHOD is proposed for solving linearand nonlinear multi-order FRACTIONAL DI; ERENTIAL EQUATIONS based on the newde nition of fractional derivative which is recently presented by Khalil, R., Al Horani, M., Yousef, A. and Sababeh, M. in A new de nition of fractionalderivative, J. Comput. Appl. Math. 264 (2014), 65{70. The propertiesof SINC FUNCTIONs are used to reduce the FRACTIONAL DI; erential equation to asystem of algebraic equations. Several numerical examples are provided toillustrate the accuracy and e ectiveness of the presented method.

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APA: Copy

HESAMEDDINI, E., & ASADOLLAHIFARD, E.. (2015). NUMERICAL SOLUTION OF MULTI-ORDERFRACTIONAL DI ERENTIAL EQUATIONS VIA THESINC COLLOCATION METHOD. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 5(1 ), 37-48. SID. https://sid.ir/paper/260848/en

Vancouver: Copy

HESAMEDDINI E., ASADOLLAHIFARD E.. NUMERICAL SOLUTION OF MULTI-ORDERFRACTIONAL DI ERENTIAL EQUATIONS VIA THESINC COLLOCATION METHOD. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2015;5(1 ):37-48. Available from: https://sid.ir/paper/260848/en

IEEE: Copy

E. HESAMEDDINI, and E. ASADOLLAHIFARD, “NUMERICAL SOLUTION OF MULTI-ORDERFRACTIONAL DI ERENTIAL EQUATIONS VIA THESINC COLLOCATION METHOD,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 5, no. 1 , pp. 37–48, 2015, [Online]. Available: https://sid.ir/paper/260848/en

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