Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators

• Autorzy: Jamshad Ahmad , Syed Tauseef Mohyud-Din , H. M. Srivastava , Xiao-Jun Yang
• Języki publikacji: EN

Abstrakty

EN

In this paper we develop analytical solutions for the Helmholtz and Laplace equations involving local fractional derivative operators. We implement the local fractional decomposition method (LFDM) for finding the exact solutions. The iteration procedure is based upon the local fractional derivative sense. The numerical results, whichwe present in this paper, show that the methodology used provides an efficient and simple tool for solving fractal phenomena arising in mathematical physics and engineering. Several illustrative examples are also provided.

Słowa kluczowe

EN

Partial differential equations; Local fractionalderivative operators; Mittag-Leffler function; Local fractionaldecomposition method (LFDM)

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2015
• Tom: 1
• Numer: 1

Daty

otrzymano

2015-08-08

zaakceptowano

2015-09-29

online

2015-11-11

Twórcy

autor

Jamshad Ahmad

• Department of Mathematics, Faculty of Sciences, HITEC University, Taxila, Pakistan

autor

Syed Tauseef Mohyud-Din

• Department of Mathematics, Faculty of Sciences, HITEC University, Taxila, Pakistan

autor

H. M. Srivastava

• Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada and China Medical University, Taichung 40402, Taiwan, Republic of China

autor

Xiao-Jun Yang

• China University of Mining and Technology, Department of Mathematics and Mechanics, Xuzhou, Jiangsu 221008, People’s Republic of China

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Identyfikatory

DOI

10.1515/wwfaa-2015-0003