06200nam 2201525z- 450 991055763300332120210501(CKB)5400000000045084(oapen)https://directory.doabooks.org/handle/20.500.12854/68986(oapen)doab68986(EXLCZ)99540000000004508420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional-Order Integral and Derivative Operators and Their ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (344 p.)3-03936-650-5 3-03936-651-3 In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. For this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications.Mathematics and SciencebicsscResearch and information: generalbicsscanalytic functionsAppell's functionsapproximate solutionavailable potassiumBanach spacecardioid domainclose-to-convex functionscollocation pointsconfluent hypergeometric functionconic and generalized conic domainsconic domainscontrollabilityconvergence analysisconvex functionscorrelation analysiscoupled systemdesert soildifferential subordinationerror analysisfield spectrumfractional calculusfractional derivativesfractional differential equationsfractional differential systemsfractional diffusion equationfractional in time and space shallow-water systemfractional integralsfractional order modelfractional order Takagi-Sugeno modelsfractional order unknown input fuzzy observerGauss hypergeometric functiongenerating functionsglobal solutionsHadamard derivativeHankel determinantHermite collocation methodHermite polynomials and seriesHilfer derivativeHilfer fractional derivativeHIV infectionimpulsive systemincomplete fractional calculusinitial value problemJanowski functionL2 optimizationLaplace operatorslatent reservoirLegendre waveletlength problemslimacon domainlinear matrix inequalitiesLiouville_Caputo senselogarithmlogarithmic coefficientsMittag-Leffler functionsMiura transformmixed Hadamard integralmixed Riemann-Liouville integralmonotone iterative methodmultivalent functionsn/anon-linear fractional variational problemsnonlocal boundary conditionsnonlocal integral conditionoperational matrixorthogonal polynomialspantograph differential equationpiecewise constant functionsPost-Exposure Prophylaxisq-calculusq-derivative operatorq-hypergeometric functionsrandom solutionRayleigh-Ritz methodRiemann-Liouville fractional integralRiemann-stieltjes integralsine functionSIR modelSobolev spacesoliton equationsstarlike and q-starlike functionsstarlike functionstarlike functionssubordinationsystems of fractional order differential equationsToeplitz determinantToeplitz matricesUlam stabilityuniformly close-to-convex functionsuniformly starlike functionsunique continuation propertyunivalent functionsunmeasurable premise variablesupper and lower solutionsupper boundvariable order fractional derivativeψ-Caputo fractional derivativeMathematics and ScienceResearch and information: generalSrivastava Hari Mohanedt1277894Srivastava Hari MohanothBOOK9910557633003321Fractional-Order Integral and Derivative Operators and Their Applications3012223UNINA