Cancer treatment model with the Caputo-Fabrizio fractional derivative

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Dokuyucu M. A., Celik E., BULUT H., Baskonus H. M.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.133, no.3, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 133 Issue: 3
• Publication Date: 2018
• Doi Number: 10.1140/epjp/i2018-11950-y
• Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Ondokuz Mayıs University Affiliated: No

Abstract

In this article, a model for cancer treatment is examined. The model is integrated into the Caputo-Fabrizio fractional derivative first, to examine the existence of the solution. Then, the uniqueness of the solution is investigated and we identified under which conditions the model provides a unique solution.