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Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s

By Mirjana Stojanović


Mathematics Subject Classification 2010: 26A33, 33E12, 35S10, 45K05.We give the proofs of the existence and regularity of the solutions in the space C^∞ (t > 0;H^(s+2) (R^n)) ∩ C^0(t ≧ 0;H^s(R^n)); s ∊ R, for the 1-term, 2-term,..., n-term time-fractional equation evaluated from the time fractional equation of distributed order with spatial Laplace operator Δx ..

Topics: Time-Fractional Diffusion-Wave Problem, Existence Theorems, Exact Solutions, Sobolev Spaces, Regularity
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Year: 2010
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