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Application of Sumudu Transform in Two-Parameter Fractional Telegraph Equation |
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PP: 137-140 |
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doi:10.18576/amisl/040306
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Author(s) |
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Altaf Ahmad,
Farooq Ahmad,
S. K. Tripathi,
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Abstract |
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| In this paper we investigate the solution of two-parameter fractional telegraph equation 𝑎(𝐷𝑡𝛼+1𝑁)(𝑡,𝑥)+ 𝑏(𝐷𝑡𝛽𝑁)(𝑡,𝑥)=(𝐷𝑥𝛾+1𝑁)(𝑡,𝑥)+𝜉𝑁(𝑡,𝑥)+𝜓(𝑡,𝑥)…(1) with positive real parameter a,b and c Here 𝐷𝑡𝛼+1,𝐷𝑡𝛽 and 𝐷𝑥𝛾+1 are operator of the Riemann-Liouville fractional derivative, where 0≤𝛼≤1,0≤𝛽≤1 and 0≤𝛾≤1 by the Sumudu and Fourier integral transform. The result presented are in compact and elegant form expressed in terms of Mittag-Leffler function and generalized Mittag-Leffler function. |
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