On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator

Fractal and Fractional

article

Moldir Muratbekova¹  Bakhtiyar Kadirkulov²  Maira Koshanova¹  Batirkhan Turmetov¹ 

[1] Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University;Department of Mathematics and Information Technologies, Tashkent State University of Oriental Studies

关键词: inverse problem;    fractional derivative;    involution;    nonlocal operator;    parabolic equation;    fourth order equation;    eigenfunctions and associated functions;   

DOI  :  10.3390/fractalfract7050404

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables. The considered problems are solved using the Fourier method. The properties of eigenfunctions and associated functions of the corresponding spectral problems are studied. Theorems on the existence and uniqueness of solutions to the studied problems are proved.

【 授权许可】

CC BY