BERNOULLI WAVELETS METHOD FOR SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS IN A LARGE INTERVAL

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KESHAVARZ E.; ORDOKHANI Y.

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Journal: MATHEMATICAL RESEARCHES Year:2016 | Volume:2 | Issue:1 Page(s): 17-32

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Information Journal Paper

Title

BERNOULLI WAVELETS METHOD FOR SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS IN A LARGE INTERVAL

Author(s)

KESHAVARZ E. | ORDOKHANI Y. | Issue Writer Certificate

Keywords

BERNOULLI WAVELETQ2

FRACTIONAL CALCULUSQ2

DIFFERENTIAL EQUATIONSQ2

BLOCK PULSE FUNCTIONQ2

VAN DER POL EQUATIONQ2

BAGLEY-TORVIK EQUATIONQ2

CAPUTO DERIVATIVEQ2

OPERATIONAL MATRIXQ2

NUMERICAL SOLUTIONQ2

Abstract

In this paper, BERNOULLI WAVELETs are presented for solving (approximately) fractional DIFFERENTIAL EQUATIONS in a large interval. BERNOULLI WAVELETs OPERATIONAL MATRIX of fractional order integration is derived and utilized to reduce the fractional DIFFERENTIAL EQUATIONS to system of algebraic equations. Numerical examples are carried out for various types of problems, including fractional Van der Pol and BAGLEY-TORVIK EQUATIONs for the application of the method. Illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.

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APA: Copy

KESHAVARZ, E., & ORDOKHANI, Y.. (2016). BERNOULLI WAVELETS METHOD FOR SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS IN A LARGE INTERVAL. MATHEMATICAL RESEARCHES, 2(1), 17-32. SID. https://sid.ir/paper/260817/en

Vancouver: Copy

KESHAVARZ E., ORDOKHANI Y.. BERNOULLI WAVELETS METHOD FOR SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS IN A LARGE INTERVAL. MATHEMATICAL RESEARCHES[Internet]. 2016;2(1):17-32. Available from: https://sid.ir/paper/260817/en

IEEE: Copy

E. KESHAVARZ, and Y. ORDOKHANI, “BERNOULLI WAVELETS METHOD FOR SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS IN A LARGE INTERVAL,” MATHEMATICAL RESEARCHES, vol. 2, no. 1, pp. 17–32, 2016, [Online]. Available: https://sid.ir/paper/260817/en

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