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Integral equation of Toeplitz plus Hankel's type and parabolic equation related to the Kontorovich‐Lebedev‐Fourier generalized convolutions
Author(s) -
Tuan Trinh,
Van Hoang Pham,
Hong Nguyen Thanh
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5279
Subject(s) - toeplitz matrix , mathematics , type (biology) , mathematical analysis , fourier transform , class (philosophy) , hankel transform , integral equation , pure mathematics , ecology , artificial intelligence , computer science , biology
In this paper, we consider a class of integral equations with two Toeplitz plus Hankel's type kernels, and a class of parabolic equations. Using the Kontorovich‐Lebedev transform method, we obtain the closed form of solutions related to the Kontorovich‐Lebedev‐Fourier generalized convolutions. Furthermore, the estimate of solution in L p with weight is established.