Linear Fractional PDE, Uniqueness of Global Solutions

Schäfer, Ingo; Kempfle, Siegmar; Nolte, Bodo

Fractional Calculus and Applied Analysis (2005)

  • Volume: 8, Issue: 1, page 53-62
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.

How to cite

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Schäfer, Ingo, Kempfle, Siegmar, and Nolte, Bodo. "Linear Fractional PDE, Uniqueness of Global Solutions." Fractional Calculus and Applied Analysis 8.1 (2005): 53-62. <http://eudml.org/doc/11271>.

@article{Schäfer2005,
abstract = {Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.},
author = {Schäfer, Ingo, Kempfle, Siegmar, Nolte, Bodo},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A33; 47A60; 30C15},
language = {eng},
number = {1},
pages = {53-62},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Linear Fractional PDE, Uniqueness of Global Solutions},
url = {http://eudml.org/doc/11271},
volume = {8},
year = {2005},
}

TY - JOUR
AU - Schäfer, Ingo
AU - Kempfle, Siegmar
AU - Nolte, Bodo
TI - Linear Fractional PDE, Uniqueness of Global Solutions
JO - Fractional Calculus and Applied Analysis
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 1
SP - 53
EP - 62
AB - Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.
LA - eng
KW - 26A33; 47A60; 30C15
UR - http://eudml.org/doc/11271
ER -

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