Geodesic
Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s
Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 21-42

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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 ...
Keywords: Time-Fractional Diffusion-Wave Problem, Existence Theorems, Exact Solutions, Sobolev Spaces, Regularity 
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     title = {Well-Posedness of {Diffusion-Wave} {Problem} with {Arbitrary} {Finite} {Number} of {Time} {Fractional} {Derivatives} in {Sobolev} {Spaces} {H^s}},
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Stojanović, Mirjana. Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s. Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 21-42. http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a2/