# An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel

Wysocki, Hubert; Zellma, Marek

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 4, page 343-360
- ISSN: 1311-0454

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topWysocki, Hubert, and Zellma, Marek. "An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel." Fractional Calculus and Applied Analysis 8.4 (2005): 343-360. <http://eudml.org/doc/11244>.

@article{Wysocki2005,

abstract = {Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.},

author = {Wysocki, Hubert, Zellma, Marek},

journal = {Fractional Calculus and Applied Analysis},

keywords = {44A40; 45B05},

language = {eng},

number = {4},

pages = {343-360},

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

title = {An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel},

url = {http://eudml.org/doc/11244},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Wysocki, Hubert

AU - Zellma, Marek

TI - An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 4

SP - 343

EP - 360

AB - Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.

LA - eng

KW - 44A40; 45B05

UR - http://eudml.org/doc/11244

ER -

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