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

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)

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Abstract

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.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Boundary conditions; Geometry; Mathematical operators; Biharmonic equations; Polyharmonic functions
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs Norsaini Abdul Samat
Date Deposited: 24 Oct 2019 07:41
Last Modified: 24 Oct 2019 07:41
URI: http://umpir.ump.edu.my/id/eprint/25116
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