TY - BOOK ID - 134093156 TI - New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus AU - Tassaddiq, Asifa AU - Yaseen, Muhammad PY - 2022 PB - Basel MDPI Books DB - UniCat KW - Research & information: general KW - Mathematics & science KW - bessel function KW - harmonically convex function KW - non-singular function involving kernel fractional operator KW - Hadamard inequality KW - Fejér–Hadamard inequality KW - Elzaki transform KW - Caputo fractional derivative KW - AB-fractional operator KW - new iterative transform method KW - Fisher’s equation KW - Hukuhara difference KW - Atangana–Baleanu fractional derivative operator KW - Mittag–Leffler kernel KW - Fornberg–Whitham equation KW - fractional div-curl systems KW - Helmholtz decomposition theorem KW - Riemann–Liouville derivative KW - Caputo derivative KW - fractional vector operators KW - weighted (k,s) fractional integral operator KW - weighted (k,s) fractional derivative KW - weighted generalized Laplace transform KW - fractional kinetic equation KW - typhoid fever disease KW - vaccination KW - model calibration KW - asymptotic stability KW - fixed point theory KW - nonlinear models KW - efficiency index KW - computational cost KW - Halley’s method KW - basin of attraction KW - computational order of convergence KW - Caputo–Hadamard fractional derivative KW - thermostat modeling KW - Caputo–Hadamard fractional integral KW - hybrid Caputo–Hadamard fractional differential equation and inclusion KW - prey-predator model KW - boundedness KW - period-doubling bifurcation KW - Neimark-Sacker bifurcation KW - hybrid control KW - fractal dimensions KW - cubic B-splines KW - trigonometric cubic B-splines KW - extended cubic B-splines KW - Caputo–Fabrizio derivative KW - Cattaneo equation KW - Hermite-Hadamard-type inequalities KW - Hilfer fractional derivative KW - Hölder’s inequality KW - fractional-order differential equations KW - operational matrices KW - shifted Vieta–Lucas polynomials KW - Adomian decomposition method KW - system of Whitham-Broer-Kaup equations KW - Caputo-Fabrizio derivative KW - Yang transform KW - ϑ-Caputo derivative KW - extremal solutions KW - monotone iterative method KW - sequences KW - convex KW - exponential convex KW - fractional KW - quantum KW - inequalities KW - Gould-Hopper-Laguerre-Sheffer matrix polynomials KW - quasi-monomiality KW - umbral calculus KW - fractional calculus KW - Euler’s integral of gamma functions KW - beta function KW - generalized hypergeometric series KW - operational methods KW - delta function KW - Riemann zeta-function KW - fractional transforms KW - Fox–Wright-function KW - generalized fractional kinetic equation KW - n/a KW - Fejér-Hadamard inequality KW - Fisher's equation KW - Atangana-Baleanu fractional derivative operator KW - Mittag-Leffler kernel KW - Fornberg-Whitham equation KW - Riemann-Liouville derivative KW - Halley's method KW - Caputo-Hadamard fractional derivative KW - Caputo-Hadamard fractional integral KW - hybrid Caputo-Hadamard fractional differential equation and inclusion KW - Hölder's inequality KW - shifted Vieta-Lucas polynomials KW - Euler's integral of gamma functions KW - Fox-Wright-function UR - https://www.unicat.be/uniCat?func=search&query=sysid:134093156 AB - 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. ER -