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

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 1, page 21-42
- ISSN: 1311-0454

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topStojanović, 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 -

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