05319nam 2201369z- 450 991059506620332120220916(CKB)5680000000080871(oapen)https://directory.doabooks.org/handle/20.500.12854/92086(oapen)doab92086(EXLCZ)99568000000008087120202209d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNew Advancements in Pure and Applied Mathematics via Fractals and Fractional CalculusBasel20221 online 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.Mathematics and SciencebicsscResearch and information: generalbicsscAB-fractional operatorAdomian decomposition methodasymptotic stabilityAtangana-Baleanu fractional derivative operatorbasin of attractionbessel functionbeta functionboundednessCaputo derivativeCaputo fractional derivativeCaputo-Fabrizio derivativeCaputo-Fabrizio derivativeCaputo-Hadamard fractional derivativeCaputo-Hadamard fractional integralCattaneo equationcomputational costcomputational order of convergenceconvexcubic B-splinesdelta functionefficiency indexElzaki transformEuler's integral of gamma functionsexponential convexextended cubic B-splinesextremal solutionsFejér-Hadamard inequalityFisher's equationfixed point theoryFornberg-Whitham equationFox-Wright-functionfractal dimensionsfractionalfractional calculusfractional div-curl systemsfractional kinetic equationfractional transformsfractional vector operatorsfractional-order differential equationsgeneralized fractional kinetic equationgeneralized hypergeometric seriesGould-Hopper-Laguerre-Sheffer matrix polynomialsHadamard inequalityHalley's methodharmonically convex functionHelmholtz decomposition theoremHermite-Hadamard-type inequalitiesHilfer fractional derivativeHölder's inequalityHukuhara differencehybrid Caputo-Hadamard fractional differential equation and inclusionhybrid controlinequalitiesMittag-Leffler kernelmodel calibrationmonotone iterative methodn/aNeimark-Sacker bifurcationnew iterative transform methodnon-singular function involving kernel fractional operatornonlinear modelsoperational matricesoperational methodsperiod-doubling bifurcationprey-predator modelquantumquasi-monomialityRiemann zeta-functionRiemann-Liouville derivativesequencesshifted Vieta-Lucas polynomialssystem of Whitham-Broer-Kaup equationsthermostat modelingtrigonometric cubic B-splinestyphoid fever diseaseumbral calculusvaccinationweighted (k,s) fractional derivativeweighted (k,s) fractional integral operatorweighted generalized Laplace transformYang transformϑ-Caputo derivativeMathematics and ScienceResearch and information: generalTassaddiq Asifaedt1332985Yaseen MuhammadedtTassaddiq AsifaothYaseen MuhammadothBOOK9910595066203321New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus3041193UNINA