TRIANGULAR FUNCTIONS OPERATIONAL MATRIX METHOD FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL

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Atabak Sayed Saeid; Khodadad Mohammad Taghi

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Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

TRIANGULAR FUNCTIONS OPERATIONAL MATRIX METHOD FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL

Author(s)

Atabak Sayed Saeid | Khodadad Mohammad Taghi | Issue Writer Certificate

Keywords

VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

TRIANGULAR FUNCTIONS

OPERATIONAL MATRIX

RIEMANN-LIOUVILLE FRACTIONAL INTEGRATION

CAPUTO DERIVATIVE

Abstract

IN THIS PAPER, TRIANGULAR FUNCTIONS METHOD COMBINING WITH ITS OPERATIONAL MATRIX OF FRACTIONAL INTEGRATION ARE APPLIED TO THE NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL. THE MAIN PURPOSE OF THIS TECHNIQUE IS TOTRANSFORM THE INITIAL EQUATION INTO A NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WHICH CAN BE SOLVEDEASILY. IN THE END, WE SOLVE AN EXAMPLE BY THIS METHOD AND ALSO, BY BLOCK PULSE FUNCTIONS METHOD AND HAAR WAVELETS METHOD. THE APPROXIMATE SOLUTIONS OBTAINED BY THESE METHODS ARE COMPARED TOGETHER.

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APA: Copy

Atabak, Sayed Saeid, & Khodadad, Mohammad Taghi. (2016). TRIANGULAR FUNCTIONS OPERATIONAL MATRIX METHOD FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/947507/en

Vancouver: Copy

Atabak Sayed Saeid, Khodadad Mohammad Taghi. TRIANGULAR FUNCTIONS OPERATIONAL MATRIX METHOD FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL. 2016. Available from: https://sid.ir/paper/947507/en

IEEE: Copy

Sayed Saeid Atabak, and Mohammad Taghi Khodadad, “TRIANGULAR FUNCTIONS OPERATIONAL MATRIX METHOD FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNEL,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/947507/en

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