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.
CITATION STYLE
Karimov, E. T., Kerbal, S., & Al-Salti, N. (2017). Inverse source problem for multi-term fractional mixed type equation. In Trends in Mathematics (pp. 289–301). Springer International Publishing. https://doi.org/10.1007/978-981-10-4337-6_13
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