Integral equation of Toeplitz plus Hankel's type and parabolic equation related to the Kontorovich‐Lebedev‐Fourier generalized convolutions | Zendy

Tuan Trinh | Zendy; Van Hoang Pham | Zendy; Hong Nguyen Thanh | Zendy

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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.

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