05286nam 2201345z- 450 991059506620332120231214133241.0(CKB)5680000000080871(oapen)https://directory.doabooks.org/handle/20.500.12854/92086(EXLCZ)99568000000008087120202209d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNew Advancements in Pure and Applied Mathematics via Fractals and Fractional CalculusBaselMDPI Books20221 electronic resource (368 p.)3-0365-4906-4 3-0365-4905-6 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.Research & information: generalbicsscMathematics & sciencebicsscbessel functionharmonically convex functionnon-singular function involving kernel fractional operatorHadamard inequalityFejér-Hadamard inequalityElzaki transformCaputo fractional derivativeAB-fractional operatornew iterative transform methodFisher's equationHukuhara differenceAtangana-Baleanu fractional derivative operatorMittag-Leffler kernelFornberg-Whitham equationfractional div-curl systemsHelmholtz decomposition theoremRiemann-Liouville derivativeCaputo derivativefractional vector operatorsweighted (k,s) fractional integral operatorweighted (k,s) fractional derivativeweighted generalized Laplace transformfractional kinetic equationtyphoid fever diseasevaccinationmodel calibrationasymptotic stabilityfixed point theorynonlinear modelsefficiency indexcomputational costHalley's methodbasin of attractioncomputational order of convergenceCaputo-Hadamard fractional derivativethermostat modelingCaputo-Hadamard fractional integralhybrid Caputo-Hadamard fractional differential equation and inclusionprey-predator modelboundednessperiod-doubling bifurcationNeimark-Sacker bifurcationhybrid controlfractal dimensionscubic B-splinestrigonometric cubic B-splinesextended cubic B-splinesCaputo-Fabrizio derivativeCattaneo equationHermite-Hadamard-type inequalitiesHilfer fractional derivativeHölder's inequalityfractional-order differential equationsoperational matricesshifted Vieta-Lucas polynomialsAdomian decomposition methodsystem of Whitham-Broer-Kaup equationsCaputo-Fabrizio derivativeYang transformϑ-Caputo derivativeextremal solutionsmonotone iterative methodsequencesconvexexponential convexfractionalquantuminequalitiesGould-Hopper-Laguerre-Sheffer matrix polynomialsquasi-monomialityumbral calculusfractional calculusEuler's integral of gamma functionsbeta functiongeneralized hypergeometric seriesoperational methodsdelta functionRiemann zeta-functionfractional transformsFox-Wright-functiongeneralized fractional kinetic equationResearch & information: generalMathematics & scienceTassaddiq Asifaedt1332985Yaseen MuhammadedtTassaddiq AsifaothYaseen MuhammadothBOOK9910595066203321New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus3041193UNINA