# Some Fractional Extensions of the Temperature Field Problem in Oil Strata

Fractional Calculus and Applied Analysis (2007)

- Volume: 10, Issue: 1, page 75-98
- ISSN: 1311-0454

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topBoyadjiev, Lyubomir. "Some Fractional Extensions of the Temperature Field Problem in Oil Strata." Fractional Calculus and Applied Analysis 10.1 (2007): 75-98. <http://eudml.org/doc/11300>.

@article{Boyadjiev2007,

abstract = {This survey is devoted to some fractional extensions of the incomplete
lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for
the fractional heat equation. By using Caputo’s differintegration operator
and the Laplace transform, new integral forms of the solutions are obtained.
In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wright’s type.* Partially supported by National Science Research Fund - Bulgarian Ministry of Education and Science, under Grant MM 1305/2003.},

author = {Boyadjiev, Lyubomir},

journal = {Fractional Calculus and Applied Analysis},

keywords = {44A99; 65D99},

language = {eng},

number = {1},

pages = {75-98},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Some Fractional Extensions of the Temperature Field Problem in Oil Strata},

url = {http://eudml.org/doc/11300},

volume = {10},

year = {2007},

}

TY - JOUR

AU - Boyadjiev, Lyubomir

TI - Some Fractional Extensions of the Temperature Field Problem in Oil Strata

JO - Fractional Calculus and Applied Analysis

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 10

IS - 1

SP - 75

EP - 98

AB - This survey is devoted to some fractional extensions of the incomplete
lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for
the fractional heat equation. By using Caputo’s differintegration operator
and the Laplace transform, new integral forms of the solutions are obtained.
In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wright’s type.* Partially supported by National Science Research Fund - Bulgarian Ministry of Education and Science, under Grant MM 1305/2003.

LA - eng

KW - 44A99; 65D99

UR - http://eudml.org/doc/11300

ER -

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