A new analytical technique to solve system of fractional-order partial differential equations

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Publication Details

Author list: Shah R., Khan H., Farooq U., Baleanu D., Kumam P., Arif M.

Publication year: 2019

Journal: Thai Journal of Mathematics (1686-0209)

Volume number: 7

Start page: 150037

End page: 150050

Number of pages: 14

ISSN: 1686-0209

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85066241810&partnerID=40&md5=7ba8709759e41e873f2547489380fb3a

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we propose a descent Dai-Liao projection method to solve non-linear monotone equations with convex constraints. Under some suitable conditions, we prove the global convergence of the method. Numerical experiments presented show that the method is efficient and promising compared to existing method for solving monotone nonlinear equations. Finally, the proposed method was applied to solve the sparse signal reconstruction problem in compressive sensing. ฉ 2019 by the Mathematical Association of Thailand. All rights reserved.

Keywords

Compressive sensing, Monotone equation