Biological Experiments Based on Fractional Integral Equations. (November 2018)

• Record Type: Journal Article
• Authors: Damag, Faten H; Kilicman, Adem
• Is Part Of: Journal of physics. Volume 1132(2018)
• Publication Date: 2018-11
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1132/1/012023
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: This paper deals with modeling of mathematical biological experiments using the iterative fractional integral equations following type (1) w ( u ) = h ( u ) + ∫ u 0 u ( u − r ) β Γ ( β + 1 ) K ( r, w ( w ( r ) ) ) d r ( 1 ) where u 0, u ∈ [ a, b ], w, h ∈ C ([ a, b ] × [ a, b ]), K ∈ C ([ a, b ] × [ a, b ]). We propose that the mathematical model (1) containing the iterative integral of fractional order that is the best method in the studying this field. We establish the existence and uniqueness solutions for fractional iterative integral equation by using the technique function h non-expansive mappings. Also, we show the results of the system of fractional iterative integral equation by using the technique of non-expansive operators.