@article{4d2fbfbba0be4886828a9e17c946c16d,

title = "Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data",

abstract = "We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented.",

keywords = "Fractional-time diffusion equation, Inverse problem, Involution, Nonlocal sub-diffusion equation",

author = "Mokhtar Kirane and Bessem Samet and Torebek, {Berikbol T.}",

note = "Funding Information: Science of the Russian Federation (Agreement number No 02.a03.21.0008). B. Samet extends his appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No RGP-237 (Saudi Arabia). B. T. Torebek was financially supported by a grant No 0819/GF4 from the Ministry of Science and Education of the Republic of Kazakhstan. Funding Information: Acknowledgements. M. Kirane was supported by the Ministry of Education and Publisher Copyright: {\textcopyright} 2017 Texas State University.",

year = "2017",

month = oct,

day = "11",

language = "British English",

volume = "2017",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}