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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Detalles Bibliográficos
Otros Autores:	Tassaddiq, Asifa (Editor ), Yaseen, Muhammad (Otro)
Formato:	Libro electrónico
Idioma:	Inglés
Publicado:	Basel MDPI Books 2022
Materias:	Research & information: general Mathematics & science bessel function harmonically convex function non-singular function involving kernel fractional operator Hadamard inequality Fejér-Hadamard inequality Elzaki transform Caputo fractional derivative AB-fractional operator new iterative transform method Fisher's equation Hukuhara difference Atangana-Baleanu fractional derivative operator Mittag-Leffler kernel Fornberg-Whitham equation fractional div-curl systems Helmholtz decomposition theorem Riemann-Liouville derivative Caputo derivative fractional vector operators weighted (k,s) fractional integral operator weighted (k,s) fractional derivative weighted generalized Laplace transform fractional kinetic equation typhoid fever disease vaccination model calibration asymptotic stability fixed point theory nonlinear models efficiency index computational cost Halley's method basin of attraction computational order of convergence Caputo-Hadamard fractional derivative thermostat modeling Caputo-Hadamard fractional integral hybrid Caputo-Hadamard fractional differential equation and inclusion prey-predator model boundedness period-doubling bifurcation Neimark-Sacker bifurcation hybrid control fractal dimensions cubic B-splines trigonometric cubic B-splines extended cubic B-splines Caputo-Fabrizio derivative Cattaneo equation Hermite-Hadamard-type inequalities Hilfer fractional derivative Hölder's inequality fractional-order differential equations operational matrices shifted Vieta-Lucas polynomials Adomian decomposition method system of Whitham-Broer-Kaup equations Yang transform ϑ-Caputo derivative extremal solutions monotone iterative method sequences convex exponential convex fractional quantum inequalities Gould-Hopper-Laguerre-Sheffer matrix polynomials quasi-monomiality umbral calculus fractional calculus Euler's integral of gamma functions beta function generalized hypergeometric series operational methods delta function Riemann zeta-function fractional transforms Fox-Wright-function generalized fractional kinetic equation
Ver en Biblioteca Universitat Ramon Llull:	https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009683468306719

Descripción
Sumario:	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 real-world problems. It is impossible to deny that fractional behaviour exists in nature. Any phenomenon that has a pulse, rhythm, or pattern appears to be a fractal. The 17 papers that were published and are part of this volume provide credence to that claim. A variety of topics illustrate the use of fractional calculus in a range of disciplines and offer sufficient coverage to pique every reader's attention.
Descripción Física:	1 electronic resource (368 p.)

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

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