A Solution of Fractal Dynamic Pharmacokinetics Problem
DOI:
https://doi.org/10.31642/JoKMC/2018/110111Keywords:
Riemann –Liouville Derivatives, Fractal Differential Equations, LT Laplace TransformAbstract
There are numerous uses for fractional differential equations in engineering, physics, and technology. A path for solving the fractal differential equations was examined, and its homogeneous form of was introduced. The notions of Riemann-Liouville fractional derivatives served as the foundation for the journey.. The solutions of the linear non-homogeneous fractal differential equations are given in detail.
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A. Dokoumetzidis, R. Magin and P. Macheras, Fractional kinetics in Multi-Compartmental Systems, J. Pharmacokinet. Pharmacodyn.,37 (2010), 507–524.10.1007/s10928-010-9170-4Search in Google Scholar PubMed DOI: https://doi.org/10.1007/s10928-010-9170-4
Abdalla Mahmoud Ali “Riemann –Liouville and Caputo Fractional Derivative,January ,13,2022. DOI: https://doi.org/10.3390/sym13040622
Apostol, T. Calculus; Blaisdell Publishing: Waltham, MA, USA, 1990.
Aseel, A., H., “Study of Effeciency Approximate and Analytical Solutions for Physical Problems “, MSc. Thesis, FMC, University of Kufa, 2023.
Beyer, H.; Kempfle, S. Definition of physical consistent damping laws with fractional derivatives. Z. Angew. Math. Mech. 1995, 75, 623–635. DOI: https://doi.org/10.1002/zamm.19950750820
Dafar aziz, Solution of Linear Fractional Differential Equations using Power Series Method and LSA, MSc Thesis, FMC, University of Kufa, 2022.
Dafar, Z, “Review of solution Fractal Differential Equations via the Rimann–Lioville. Mathematical Statistician and Engineering Applications” ,ISSN 2094-0343in December 2022.
El-Ajou,A.Abu Arqub,O.AL-smadi ,M,Ageneral from of the generalized Taylor’s formula with some appllications.Appl.Math comut 256,851-859(2015). DOI: https://doi.org/10.1016/j.amc.2015.01.034
He, J.H. Approximate analytic solution for seepage flow with fractional derivatives in porous media. Comput. Method. Appl. M. 1998, 167, 57–68. DOI: https://doi.org/10.1016/S0045-7825(98)00108-X
He, J.H. Some applications of nonlinear fractional differential equations and their approximations. Sci. Technol. Soc. 1999, 15, 86–90.
Kallen, A. (2007). Computational pharmacokinetics. CRC Press. DOI: https://doi.org/10.1201/9781420060669
Kilbas, A., Srivastava, H., Trujillo, J.:” Theory and Applications of Fractional Differential Equations”, 1st edn. Elsevier, New York (2006)
KolmanB.”Introductory Linear Algebra with applications”Macmilan,1984.
Li, H.; Haldane, F.D.M. Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states. Phys. Rev. Lett. 2008, 101, 01050. DOI: https://doi.org/10.1103/PhysRevLett.101.010504
Mainardi, F. Fractional calculus: Some basic problems in continuum and statistical mechanics. In Fractals and Fractional Calculus in Continuum Mechanics; Carpinteri, A., Mainardi, F., Eds.; Springer-Verlag: Wien, Austria, 1997; pp. 291–348. DOI: https://doi.org/10.1007/978-3-7091-2664-6_7
Miller, K.S.; Ross, B. An Introduction to the Fractional Calculus and Fractional Differential Equations; John Willy and Sons, Inc.: New York, NY, USA, 1993.
podlubny ‘Fractional Differential Equtions’,Academic press,san Diego ,(A)1999.
Oldham, K.B.; Spanier, J. The Fractional Calculus; Academic Press: New York, NY, USA, 1974 .
Podlubny, I. Fractional Differential Equations; Academic Press: New York, NY, USA, 1999.
R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific Publishing Company, Singapore, 2000.
R. Hilfer (editor); Applications of Fractional Calculus in Physics, world scientific Publishing Co. 2000. DOI: https://doi.org/10.1142/9789812817747
Ubriaco, M.R. Entropies based on fractional calculus. Phys. Lett. A 2009, 373, 2516–2519. DOI: https://doi.org/10.1016/j.physleta.2009.05.026
Yan, J.P.; Li, C.P. On chaos synchronization of fractional differential equations. Chaos, Solitons Fractals 2007, 32, 725–735 . DOI: https://doi.org/10.1016/j.chaos.2005.11.062
Z. M. Odibat and N. T. Shawagfeh, “Generalized Taylor’s formula,” Applied Mathematics and
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