LEADER 05286nam 2201345z- 450 001 9910595066203321 005 20231214133241.0 035 $a(CKB)5680000000080871 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/92086 035 $a(EXLCZ)995680000000080871 100 $a20202209d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNew Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus 210 $aBasel$cMDPI Books$d2022 215 $a1 electronic resource (368 p.) 311 $a3-0365-4906-4 311 $a3-0365-4905-6 330 $aThis 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. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $abessel function 610 $aharmonically convex function 610 $anon-singular function involving kernel fractional operator 610 $aHadamard inequality 610 $aFeje?r-Hadamard inequality 610 $aElzaki transform 610 $aCaputo fractional derivative 610 $aAB-fractional operator 610 $anew iterative transform method 610 $aFisher's equation 610 $aHukuhara difference 610 $aAtangana-Baleanu fractional derivative operator 610 $aMittag-Leffler kernel 610 $aFornberg-Whitham equation 610 $afractional div-curl systems 610 $aHelmholtz decomposition theorem 610 $aRiemann-Liouville derivative 610 $aCaputo derivative 610 $afractional vector operators 610 $aweighted (k,s) fractional integral operator 610 $aweighted (k,s) fractional derivative 610 $aweighted generalized Laplace transform 610 $afractional kinetic equation 610 $atyphoid fever disease 610 $avaccination 610 $amodel calibration 610 $aasymptotic stability 610 $afixed point theory 610 $anonlinear models 610 $aefficiency index 610 $acomputational cost 610 $aHalley's method 610 $abasin of attraction 610 $acomputational order of convergence 610 $aCaputo-Hadamard fractional derivative 610 $athermostat modeling 610 $aCaputo-Hadamard fractional integral 610 $ahybrid Caputo-Hadamard fractional differential equation and inclusion 610 $aprey-predator model 610 $aboundedness 610 $aperiod-doubling bifurcation 610 $aNeimark-Sacker bifurcation 610 $ahybrid control 610 $afractal dimensions 610 $acubic B-splines 610 $atrigonometric cubic B-splines 610 $aextended cubic B-splines 610 $aCaputo-Fabrizio derivative 610 $aCattaneo equation 610 $aHermite-Hadamard-type inequalities 610 $aHilfer fractional derivative 610 $aHo?lder's inequality 610 $afractional-order differential equations 610 $aoperational matrices 610 $ashifted Vieta-Lucas polynomials 610 $aAdomian decomposition method 610 $asystem of Whitham-Broer-Kaup equations 610 $aCaputo-Fabrizio derivative 610 $aYang transform 610 $a?-Caputo derivative 610 $aextremal solutions 610 $amonotone iterative method 610 $asequences 610 $aconvex 610 $aexponential convex 610 $afractional 610 $aquantum 610 $ainequalities 610 $aGould-Hopper-Laguerre-Sheffer matrix polynomials 610 $aquasi-monomiality 610 $aumbral calculus 610 $afractional calculus 610 $aEuler's integral of gamma functions 610 $abeta function 610 $ageneralized hypergeometric series 610 $aoperational methods 610 $adelta function 610 $aRiemann zeta-function 610 $afractional transforms 610 $aFox-Wright-function 610 $ageneralized fractional kinetic equation 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aTassaddiq$b Asifa$4edt$01332985 702 $aYaseen$b Muhammad$4edt 702 $aTassaddiq$b Asifa$4oth 702 $aYaseen$b Muhammad$4oth 906 $aBOOK 912 $a9910595066203321 996 $aNew Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus$93041193 997 $aUNINA