This paper presents a new mathematical formulation in fractional sense describing the asymptotic behavior of immunogenic tumor growth. The new model is investigated through different fractional operators with and without singular kernel. An efficient numerical technique to solve these equations is also suggested. Comparative results with experimental data verify that the fractional-order growth model covers the real data better than the integer model of tumor growth. Thus, more precise models can be provided by the fractional calculus (FC), which helps us to examine better the complex dynamics. Finally, numerical results confirming the theoretical analysis are provided.
New Aspects of Immunogenic Tumors Within Different Fractional Operators
Faculty of Arts and Sciences,
Ankara 06530, Turkey;
Magurele-Bucharest R 76900, Romania
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received August 7, 2018; final manuscript received January 12, 2019; published online February 15, 2019. Assoc. Editor: Firdaus Udwadia.
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Ullah, M. Z., Al-Aidarous, E. S., and Baleanu, D. (February 15, 2019). "New Aspects of Immunogenic Tumors Within Different Fractional Operators." ASME. J. Comput. Nonlinear Dynam. April 2019; 14(4): 041009. https://doi.org/10.1115/1.4042637
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