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This is to certify that your paper entitled «Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type» was indexed with 13 pages, in the CIVILICA citation database, code COI:JR_CMDE-12-4_001, after evaluation and approval of the referees of the "Computational Methods for Differential Equations Vol 12, Issue 4 , Year 2024.

While offering our congratulations on the indexation of your paper, please be informed that this certificate is prepared based on the information submitted by the secretariat of the above journal and the information contained in the CIVILICA database, and the accuracy of its content can be inquired at any time through link provided at the bottom of the page or scanning the code image.