NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS VIA THE RATIONALIZED HAAR FUNCTIONS

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ORDOKHANI Y.; RAHIMI N.

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Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2014 | Volume:14 | Issue:3 Page(s): 211-224

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Title

NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS VIA THE RATIONALIZED HAAR FUNCTIONS

Author(s)

ORDOKHANI Y. | RAHIMI N. | Issue Writer Certificate

Keywords

RATIONALIZED HAARQ4

FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONQ4

RIEMANN-LIOUVILLE INTEGRALQ4

CAPUTO FRACTIONAL DERIVATIVEQ4

FRACTIONAL OPERATIONAL MATRIXQ4

PRODUCT OPERATIONAL MATRIXQ4

Abstract

In this paper RATIONALIZED HAAR (RH) functions method is applied to approximate the numerical solution of the FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONs (FVIDEs). The fractional derivatives are described in Caputo sense. The properties of RH functions are presented, and the operational matrix of the fractional integration together with the PRODUCT OPERATIONAL MATRIX is used to reduce the computation of FVIDEs into a system of algebraic equations. By using this technique for solving FVIDEs computation time is low. Numerical examples are given to demonstrate application of the presented method with RH functions base.

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APA: Copy

ORDOKHANI, Y., & RAHIMI, N.. (2014). NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS VIA THE RATIONALIZED HAAR FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 14(3), 211-224. SID. https://sid.ir/paper/44068/en

Vancouver: Copy

ORDOKHANI Y., RAHIMI N.. NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS VIA THE RATIONALIZED HAAR FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2014;14(3):211-224. Available from: https://sid.ir/paper/44068/en

IEEE: Copy

Y. ORDOKHANI, and N. RAHIMI, “NUMERICAL SOLUTION OF FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS VIA THE RATIONALIZED HAAR FUNCTIONS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 14, no. 3, pp. 211–224, 2014, [Online]. Available: https://sid.ir/paper/44068/en

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