@inbook{cbd2e7a31f7d45ca9969c24cbcfeba82,

title = "Inverse source problem for multi-term fractional mixed type equation",

abstract = "In this work, we investigate an inverse source problem for multi-term fractional mixed type equation in a rectangular domain. We seek solutions in a form of series expansions using orthogonal basis obtained by using the method of a separation of variables. The obtained solutions involve multi-variable Mittag-Leffler functions, and hence, certain properties of the multi-variable Mittag-Leffler function needed for our calculations were established and proved. Imposing certain conditions to the given data, the convergence of the infinite series solutions was proved as well.",

keywords = "Caputo operator, Mittag-Leffler function, Mixed type equation",

author = "Karimov, {E. T.} and S. Kerbal and N. Al-Salti",

note = "Funding Information: Acknowledgements Authors acknowledge financial support from The Research Council (TRC), Oman. This work is funded by TRC under the research agreement no. ORG/SQU/CBS/13/030. Publisher Copyright: {\textcopyright} 2017, Springer Nature Singapore Pte Ltd.",

year = "2017",

doi = "10.1007/978-981-10-4337-6_13",

language = "English",

series = "Trends in Mathematics",

publisher = "Springer International Publishing",

number = "9789811043369",

pages = "289--301",

booktitle = "Trends in Mathematics",

edition = "9789811043369",

}