Inverse source problem for multi-term fractional mixed type equation

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages289-301
Number of pages13
Edition9789811043369
DOIs
Publication statusPublished - 2017

Publication series

NameTrends in Mathematics
Number9789811043369
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Fingerprint

Inverse Source Problem
Mittag-Leffler Function
Fractional
Orthogonal Basis
Separation of Variables
Series Solution
Infinite series
Term
Series Expansion
Form

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Karimov, E. T., Kerbal, S., & Al-Salti, N. (2017). Inverse source problem for multi-term fractional mixed type equation. In Trends in Mathematics (9789811043369 ed., pp. 289-301). (Trends in Mathematics; No. 9789811043369). Springer International Publishing. https://doi.org/10.1007/978-981-10-4337-6_13

Inverse source problem for multi-term fractional mixed type equation. / Karimov, E. T.; Kerbal, S.; Al-Salti, N.

Trends in Mathematics. 9789811043369. ed. Springer International Publishing, 2017. p. 289-301 (Trends in Mathematics; No. 9789811043369).

Research output: Chapter in Book/Report/Conference proceedingChapter

Karimov, ET, Kerbal, S & Al-Salti, N 2017, Inverse source problem for multi-term fractional mixed type equation. in Trends in Mathematics. 9789811043369 edn, Trends in Mathematics, no. 9789811043369, Springer International Publishing, pp. 289-301. https://doi.org/10.1007/978-981-10-4337-6_13
Karimov ET, Kerbal S, Al-Salti N. Inverse source problem for multi-term fractional mixed type equation. In Trends in Mathematics. 9789811043369 ed. Springer International Publishing. 2017. p. 289-301. (Trends in Mathematics; 9789811043369). https://doi.org/10.1007/978-981-10-4337-6_13
Karimov, E. T. ; Kerbal, S. ; Al-Salti, N. / Inverse source problem for multi-term fractional mixed type equation. Trends in Mathematics. 9789811043369. ed. Springer International Publishing, 2017. pp. 289-301 (Trends in Mathematics; 9789811043369).
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