Generalized Fractional Evolution Equation
Da Silva, J. L.; Erraoui, M.; Ouerdiane, H.
Fractional Calculus and Applied Analysis (2007)
- Volume: 10, Issue: 4, page 375-398
- ISSN: 1311-0454
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topDa Silva, J. L., Erraoui, M., and Ouerdiane, H.. "Generalized Fractional Evolution Equation." Fractional Calculus and Applied Analysis 10.4 (2007): 375-398. <http://eudml.org/doc/11333>.
@article{DaSilva2007,
abstract = {2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo)
time fractional evolution equation in infinite dimensions. We show that the
explicit solution is given as the convolution between the initial condition
and a generalized function related to the Mittag-Leffler function.
The fundamental solution corresponding to the Riemann-Liouville time fractional
evolution equation does not admit a probabilistic representation while for
the Caputo time fractional evolution equation it is related to the inverse
stable subordinators.∗ Partially supported by: GRICES, Proco 4.1.5/Maroc; PTDC/MAT/67965/2006; FCT, POCTI-219, FEDER.},
author = {Da Silva, J. L., Erraoui, M., Ouerdiane, H.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {46F25; 26A33; 46G20},
language = {eng},
number = {4},
pages = {375-398},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Generalized Fractional Evolution Equation},
url = {http://eudml.org/doc/11333},
volume = {10},
year = {2007},
}
TY - JOUR
AU - Da Silva, J. L.
AU - Erraoui, M.
AU - Ouerdiane, H.
TI - Generalized Fractional Evolution Equation
JO - Fractional Calculus and Applied Analysis
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 10
IS - 4
SP - 375
EP - 398
AB - 2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20In this paper we study the generalized Riemann-Liouville (resp. Caputo)
time fractional evolution equation in infinite dimensions. We show that the
explicit solution is given as the convolution between the initial condition
and a generalized function related to the Mittag-Leffler function.
The fundamental solution corresponding to the Riemann-Liouville time fractional
evolution equation does not admit a probabilistic representation while for
the Caputo time fractional evolution equation it is related to the inverse
stable subordinators.∗ Partially supported by: GRICES, Proco 4.1.5/Maroc; PTDC/MAT/67965/2006; FCT, POCTI-219, FEDER.
LA - eng
KW - 46F25; 26A33; 46G20
UR - http://eudml.org/doc/11333
ER -
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