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Boundary value problems for multi-term fractional differential equations
Authors:Varsha Daftardar-Gejji  Sachin Bhalekar
Affiliation:Department of Mathematics, University of Pune, Ganeshkhind, Pune 411007, India
Abstract:Multi-term fractional diffusion-wave equation along with the homogeneous/non-homogeneous boundary conditions has been solved using the method of separation of variables. It is observed that, unlike in the one term case, solution of multi-term fractional diffusion-wave equation is not necessarily non-negative, and hence does not represent anomalous diffusion of any kind.
Keywords:Caputo derivative   Multi-term fractional diffusion-wave equation   Multivariate Mittag-Leffler function   Anomalous diffusion   Separation of variables   Boundary value problems
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