ON COUPLED SYSTEM OF DRUG THERAPY VIA PIECEWISE EQUATIONS

Kamal Shah, Thabet Abdeljawad and Hussam Alrabaiah
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Kamal Shah: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia2Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia3Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Hussam Alrabaiah: Department of Mathematics, Tafila Technical University, Tafila, Jordan5College of Engineering, Al Ain University, Al Ain, UAE

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-14

Abstract: This paper is devoted to establish some theoretical and computational results for a coupled system of drug therapy process. The considered problem is investigated by using the concept of piecewise modeling. We apply piecewise differentiation and integration to study the proposed model. We derive some adequate results for existence and uniqueness for solution to the proposed problems by using fixed point results. Further, we apply some numerical approach based on Newton interpolation formula for equally spaced arguments to find numerical results corresponding to our proposed model. We use some real values and two sets of fractional order to present the dynamics of the considered model graphically.

Keywords: Qualitative Theory; Piecewise Derivative; Drug Therapy; Newton Interpolation Formula (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X2240206X

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