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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Open Access: DOAB: description of the publication
Open Access: DOAB, download the publication

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

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