$Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order$

Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order

The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that...

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Main Authors:	Ahmedov, Anvarjon A., Turmetov, Batirkhan, Siti Fatimah, Hj Ahmad Zabidi
Format:	Conference or Workshop Item
Language:	English
Published:	IOP Publishing 2019
Subjects:	QA Mathematics QC Physics TA Engineering (General). Civil engineering (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf

id	ump-25116
recordtype	eprints
spelling	ump-251162019-10-24T07:41:54Z http://umpir.ump.edu.my/id/eprint/25116/ Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi QA Mathematics QC Physics TA Engineering (General). Civil engineering (General) The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that the newly defined fractional operators map the polyharmonic functions on the ball to the polyharmonic functions. Also it is proposed that the inverse for the fractional operator and application of the integro-differential fractional operators to solve biharmonic problems with fractional boundary conditions. The sufficient condition for existence and uniqueness of the solution for biharmonic equation with fractional boundary conditions are obtained. The solution of the biharmonic equation is obtained by using the integro-differential fractional operator. IOP Publishing 2019-05-10 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf Ahmedov, Anvarjon A. and Turmetov, Batirkhan and Siti Fatimah, Hj Ahmad Zabidi (2019) Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order. In: 14th International Symposium on Geometric Function Theory and Applications, GFTA 2018, 3 - 5 December 2018 , Puri Pujangga Hotel, Universiti Kebangsaan Malaysia, Selangor, Malaysia. pp. 1-9., 1212 (012021). ISSN 1742-6588 (print); 1742-6596 (online) https://doi.org/10.1088/1742-6596/1212/1/012021
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics TA Engineering (General). Civil engineering (General)
spellingShingle	QA Mathematics QC Physics TA Engineering (General). Civil engineering (General) Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
description	The investigation of the properties of the integro-differential operators will be carried out. Which generalizes the well-known Bavrin operators to the fractional value of the parameters. The properties of the defined operators are in the classes of the polyharmonic operators. It is established that the newly defined fractional operators map the polyharmonic functions on the ball to the polyharmonic functions. Also it is proposed that the inverse for the fractional operator and application of the integro-differential fractional operators to solve biharmonic problems with fractional boundary conditions. The sufficient condition for existence and uniqueness of the solution for biharmonic equation with fractional boundary conditions are obtained. The solution of the biharmonic equation is obtained by using the integro-differential fractional operator.
format	Conference or Workshop Item
author	Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi
author_facet	Ahmedov, Anvarjon A. Turmetov, Batirkhan Siti Fatimah, Hj Ahmad Zabidi
author_sort	Ahmedov, Anvarjon A.
title	Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
title_short	Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
title_full	Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
title_fullStr	Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
title_full_unstemmed	Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order
title_sort	solving boundary problems for biharmonic operator by using integro-differential operators of fractional order
publisher	IOP Publishing
publishDate	2019
url	http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/ http://umpir.ump.edu.my/id/eprint/25116/1/Solving%20boundary%20problems%20for%20biharmonic%20operator%20by%20using.pdf
first_indexed	2023-09-18T22:38:24Z
last_indexed	2023-09-18T22:38:24Z
_version_	1777416750228307968

Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order

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