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

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 13.1 (2010): 21-42. <http://eudml.org/doc/219590>.

@article{Stojanović2010,
abstract = {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 ...},
author = {Stojanović, Mirjana},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Time-Fractional Diffusion-Wave Problem; Existence Theorems; Exact Solutions; Sobolev Spaces; Regularity},
language = {eng},
number = {1},
pages = {21-42},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s},
url = {http://eudml.org/doc/219590},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Stojanović, Mirjana
TI - Well-Posedness of Diffusion-Wave Problem with Arbitrary Finite Number of Time Fractional Derivatives in Sobolev Spaces H^s
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 1
SP - 21
EP - 42
AB - 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 ...
LA - eng
KW - Time-Fractional Diffusion-Wave Problem; Existence Theorems; Exact Solutions; Sobolev Spaces; Regularity
UR - http://eudml.org/doc/219590
ER -