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Zbl 1147.65106
Daftardar-Gejji, Varsha; Bhalekar, Sachin
Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method. (English)
[J] Appl. Math. Comput. 202, No. 1, 113-120 (2008). ISSN 0096-3003

Summary: Multi-term linear and non-linear diffusion-wave equations of fractional order are solved using Adomian decomposition method. Some numerical examples are presented.
MSC 2000:
*65R20 Integral equations (numerical methods)
65M70 Spectral, collocation and related methods (IVP of PDE)
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals (real functions)
35L70 Second order nonlinear hyperbolic equations

Keywords: Caputo derivative; fractional boundary value problems; Mittag-Leffler function; Adomian decomposition; Adomian polynomials

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