WAVELETS METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

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SOLTANI SARVESTANI F.; HEYDARI M.H.; NIKNAM A.

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Seminar Paper

Paper Information

Seminar: SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS
Year:2017 | Issue:5

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Title

WAVELETS METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

Author(s)

SOLTANI SARVESTANI F. | HEYDARI M.H. | NIKNAM A.

Keywords

SECOND KIND CHEBYSHEV WAVELETS (SKCWS)

HAT FUNCTIONS (HFS)

FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

OPERATIONAL MATRIX OF FRACTIONAL INTEGRATION

Abstract

IN THIS PAPER, A GALERKIN METHOD BASED ON THE SECOND KIND CHEBYSHEV WAVELETS (SKCWS) IS PROPOSED FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DI ERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS. IN THE PROPOSED METHOD, THE OPERATIONAL MATRIX OF FRACTIONAL ORDER INTEGRATION (OMFI) FOR SKCWS IS USED TO TRANSFORM THE PROBLEM UNDER CONSIDERATION TO A LINEAR SYSTEM OF ALGEBRAIC EQUATIONS WHICH CAN BE SIMPLY SOLVED.

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APA: Copy

SOLTANI SARVESTANI, F., HEYDARI, M.H., & NIKNAM, A.. (2017). WAVELETS METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS. SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. SID. https://sid.ir/paper/940022/en

Vancouver: Copy

SOLTANI SARVESTANI F., HEYDARI M.H., NIKNAM A.. WAVELETS METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS. 2017. Available from: https://sid.ir/paper/940022/en

IEEE: Copy

F. SOLTANI SARVESTANI, M.H. HEYDARI, and A. NIKNAM, “WAVELETS METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS,” presented at the SEMINAR ON HARMONIC ANALYSIS AND APPLICATIONS. 2017, [Online]. Available: https://sid.ir/paper/940022/en

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