Inverse source problem for multi-term fractional mixed type equation

E. T. Karimov*, S. Kerbal, N. Al-Salti

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Number of pages13
Publication statusPublished - 2017

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X


  • Caputo operator
  • Mittag-Leffler function
  • Mixed type equation

ASJC Scopus subject areas

  • Mathematics(all)


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