Results 11 to 20 of about 611,053 (243)
Generalized fractional calculus with applications to the calculus of variations
Computers & Mathematics with Applications, 2012 Submitted 22-Dec-2011; revised 26-Jan-2012; accepted 27-Jan-2012; for publication in Computers and Mathematics with ...
Tatiana Odzijewicz +2 more
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Trends, directions for further research, and some open problems of fractional calculus [PDF]
Nonlinear dynamics, 2021 The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at ...
K. Diethelm +4 more
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Fractional calculus in pharmacokinetics [PDF]
Journal of Pharmacokinetics and Pharmacodynamics, 2017 We are witnessing the birth of a new variety of pharmacokinetics where non-integer-order differential equations are employed to study the time course of drugs in the body: this is dubbed "fractional pharmacokinetics." The presence of fractional kinetics has important clinical implications such as the lack of a half-life, observed, for example with the ...
Pantelis Sopasakis +3 more
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Artificial neural networks: a practical review of applications involving fractional calculus
The European Physical Journal Special Topics, 2022 In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional calculus (FC) theory has been developed to summarize the main features and applications of the ANNs. ANN is a mathematical modeling tool used in several sciences
E. Viera-Martin +4 more
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On Weyl fractional calculus [PDF]
Proceedings of the American Mathematical Society, 1979 The Weyl fractional calculus is applied in developing the Laplace transform of t q f ( t ) {t^q}f(t) , for all values of q. Also, a generalized Taylor’s formula in Weyl fractional calculus is established.
R. K. Raina, C. L. Koul
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Fractional Calculus - Theory and Applications
Axioms, 2022 In recent years, fractional calculus has witnessed tremendous progress in various areas of sciences and mathematics [...]
J. Macías-Díaz
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Dynamical Behaviour and Chaotic Phenomena of HIV Infection through Fractional Calculus
Discrete Dynamics in Nature and Society, 2022 The infection of human immunodeficiency virus (HIV) is a serious and potentially incurable infection. There is no cure for HIV and is a public health issue around the world.
Rashid Jan +3 more
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Tempered fractional calculus [PDF]
Journal of Computational Physics, 2015 Fractional derivatives and integrals are convolutions with a power law. Multiplying by an exponential factor leads to tempered fractional derivatives and integrals. Tempered fractional diffusion equations, where the usual second derivative in space is replaced by a tempered fractional derivative, govern the limits of random walk models with an ...
Jinghua Chen +2 more
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Journal of Advanced Engineering and Computation, 2021 This survey-cum-expository review article is motivated essentially by the widespread usages of the operators of fractional calculus (that is, fractional-order integrals and fractional-order derivatives) in the modeling and analysis of a remarkably large ...
H. Srivastava
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