Existence, uniqueness and limit property of solutions to quadratic Erdélyi-Kober type integral equations of fractional order

• Authors: JinRong Wang , Chun Zhu , Michal Fečkan
• Languages of publication: EN

Abstracts

EN

In this paper, we apply certain measure of noncompactness and fixed point theorem of Darbo type to derive the existence and limit property of solutions to quadratic Erdélyi-Kober type integral equations of fractional order with three parameters. Moreover, we also present the uniqueness and another existence results of the solutions to the above equations. Finally, two examples are given to illustrate the obtained results.

Keywords

EN

quadratic Erdélyi-Kober type integral equations; fractional order; existence; uniquness; limit property

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 6
• Pages: 779-791

Dates

published

1 - 6 - 2013

online

9 - 10 - 2013

Contributors

author

JinRong Wang

author

Chun Zhu

• Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China

author

Michal Fečkan

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Identifiers

DOI

10.2478/s11534-013-0219-z