New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

This reprint focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve rea...

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Bibliographic Details
Format:	eBook
Language:	English
Published:	Basel 2022
Subjects:	Mathematics and Science Research and information: general AB-fractional operator Adomian decomposition method asymptotic stability Atangana-Baleanu fractional derivative operator basin of attraction bessel function beta function boundedness Caputo derivative Caputo fractional derivative Caputo-Fabrizio derivative Caputo-Hadamard fractional derivative Caputo-Hadamard fractional integral Cattaneo equation computational cost computational order of convergence convex cubic B-splines delta function efficiency index Elzaki transform Euler's integral of gamma functions exponential convex extended cubic B-splines extremal solutions Fejér-Hadamard inequality Fisher's equation fixed point theory Fornberg-Whitham equation Fox-Wright-function fractal dimensions fractional fractional calculus fractional div-curl systems fractional kinetic equation fractional transforms fractional vector operators fractional-order differential equations generalized fractional kinetic equation generalized hypergeometric series Gould-Hopper-Laguerre-Sheffer matrix polynomials Hadamard inequality Halley's method harmonically convex function Helmholtz decomposition theorem Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder's inequality Hukuhara difference hybrid Caputo-Hadamard fractional differential equation and inclusion hybrid control inequalities Mittag-Leffler kernel model calibration monotone iterative method n/a Neimark-Sacker bifurcation new iterative transform method non-singular function involving kernel fractional operator nonlinear models operational matrices operational methods period-doubling bifurcation prey-predator model quantum quasi-monomiality Riemann zeta-function Riemann-Liouville derivative sequences shifted Vieta-Lucas polynomials system of Whitham-Broer-Kaup equations thermostat modeling trigonometric cubic B-splines typhoid fever disease umbral calculus vaccination weighted (k,s) fractional derivative weighted (k,s) fractional integral operator weighted generalized Laplace transform Yang transform ϑ-Caputo derivative
Online Access:	Open Access: DOAB: description of the publication Open Access: DOAB, download the publication

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