The Samarskii-lonkin type problem for the fourth order parabolic equation with fractional differential operator

作者：Berdyshev A S^*; Cabada A; Kadirkulov B J

来源：Computers & Mathematics with Applications, 2011, 62(10): 3884-3893.

DOI：10.1016/j.camwa.2011.09.038

• Integro-differential operator
• Fractional derivative
• Samarskii-lonkin type problem
• Eigenvalues and eigenfunctions
• Riesz basis
• Bi-orthonormal system

In the present work the Samarskii-lonkin type non-local problem with Caputo fractional order differential operator is studied. The considered problem generalizes some previous known problems formulated for some fourth order parabolic equations. We prove the existence and uniqueness of a regular solution of the formulated problem applying the method of separation of variables.

• 出版日期2011-11