Fractional calculus – a new approach to the analysis of generalized fourth-order diffusion-wave equations. (English) Zbl 1219.65117

Summary: The homotopy perturbation method is applied to the generalized fourth-order fractional diffusion-wave equations. The problem is formulated in the Caputo sense. Moreover, a reliable scheme for calculating nonlinear operators is proposed.


65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35R11 Fractional partial differential equations
26A33 Fractional derivatives and integrals
45K05 Integro-partial differential equations
Full Text: DOI


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