Rumor and counter-rumor dynamics in a stochastic delay-fractional framework: a GL-NSFD approach. [PDF]
Raza A +5 more
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A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]
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Fractional modeling of nonlinear dispersive systems: on the comparative study of Whitham-Broer-Kaup equations using various derivatives. [PDF]
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Regression and statistical analysis of heat transfer enhancement in water/ethylene glycol (40/60) base molybdenum carbide (Mo<sub>2</sub>C) MXene nanofluid using a transient fractional model. [PDF]
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Two compartmental fractional derivative model with general fractional derivative
Journal of Pharmacokinetics and Pharmacodynamics, 2022This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathematically consistent way.
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A note on fractional derivatives and fractional powers of operators [PDF]
Definitions of fractional derivatives and fractional powers of positive operators are considered. The connection of fractional derivatives with fractional powers of positive operators is presented.
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Remarks on fractional derivatives
Applied Mathematics and Computation, 2007The authors give a historical sketch of fractional calculus, which is readily available in details in the references given. On the other hand, they should also have mentioned the monograph ``The fractional calculus. Theory and applications of differentiation and integration to arbitrary order'' (1974; Zbl 0292.26011) by \textit{K. B.
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Fractional Derivatives as Inverses
Canadian Journal of Mathematics, 1989We write formally (C, p) indicating that the integral is summable (C, p), i.e.,if this limit exists. We note here that all integrals over a finite range are taken in the Lebesgue sense, and all inversions of such iterated integrals are justifiable by Fubini's Theorem.
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Heparin Fractions and Derivatives
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Fractional Derivative and Fractional Integral
2018For every α > 0 and a local integrable function f(t), the right FI of order α is defined: $$\displaystyle{ }_aI_t^\alpha f(t) = \displaystyle\frac {1}{\Gamma (\alpha )}\displaystyle\int _a^t(t - u)^{\alpha - 1}f(u)du,\qquad-\infty \le a < t < \infty .$$
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