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2019•Mathematical Methods in the Applied SciencesRequires access

Analytical approximate solutions for local fractional wave equations

Hassan Kamil Jassim

Open publisher page 47 citations

Abstract

The analytical approximate solutions of the wave equation with local fractional derivative operators (LFDOs) are utilized in this manuscript. The reduced differential transform method (RDTM) and Laplace decomposition method (LDM) are investigated in the LFDOs sense. The results obtained by the local fractional RDTM are compared with the results obtained by local fractional LDM. The efficiency of the considered methods is illustrated by some examples.

About this research paper

What this paper is about

The analytical approximate solutions of the wave equation with local fractional derivative operators (LFDOs) are utilized in this manuscript. The reduced differential transform method (RDTM) and Laplace decomposition method (LDM) are investigated in the LFDOs sense. The results obtained by the local fractional RDTM are compared with the results obtained by local fractional LDM. The efficiency of the considered methods is illustrated by some examples.

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OpenAlex reports 47 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The analytical approximate solutions of the wave equation with local fractional derivative operators (LFDOs) are utilized in this manuscript. The reduced differential transform method (RDTM) and Laplace decomposition method (LDM) are investigated in the LFDOs sense. The results obtained by the local fractional RDTM are compared with the results obtained by local fractional LDM. The efficiency of the considered methods is illustrated by some examples.

Key concepts: Mathematics, Fractional calculus, Laplace transform, Decomposition method (queueing theory), Mathematical analysis, Derivative (finance), Applied mathematics, Discrete mathematics

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