06155nam 2201501z- 450 991055763300332120231214133057.0(CKB)5400000000045084(oapen)https://directory.doabooks.org/handle/20.500.12854/68986(EXLCZ)99540000000004508420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional-Order Integral and Derivative Operators and Their ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic 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.Research & information: generalbicsscMathematics & sciencebicsscLegendre waveletoperational matrixsystems of fractional order differential equationsLiouville_Caputo senseanalytic functionsstarlike functionsunivalent functionslength problemsSIR modelHermite collocation methodapproximate solutionHermite polynomials and seriescollocation pointsstarlike and q-starlike functionsq-derivative operatorq-hypergeometric functionsconic and generalized conic domainsHankel determinantToeplitz matricesfractional differential equationsRiemann-stieltjes integralmonotone iterative methodupper and lower solutionsfractional diffusion equationcontrollabilityimpulsive systemunique continuation propertynon-linear fractional variational problemsorthogonal polynomialsRayleigh-Ritz methoderror analysisconvergence analysisBanach spaceSobolev spaceLaplace operatorsnonlocal boundary conditionsfractional differential systemsmixed Riemann-Liouville integralmixed Hadamard integralHilfer derivativeHadamard derivativecoupled systemrandom solutionvariable order fractional derivativeinitial value problempiecewise constant functionsstarlike functionToeplitz determinantsine functionupper boundconvex functionssubordinationlogarithmic coefficientsGauss hypergeometric functionconfluent hypergeometric functionAppell's functionsincomplete fractional calculusRiemann-Liouville fractional integralgenerating functionsfractional integralsfractional derivativesMittag-Leffler functionsfield spectrumfractional calculusdesert soilavailable potassiumcorrelation analysisPost-Exposure Prophylaxislatent reservoirHIV infectionfractional order modelmultivalent functionsclose-to-convex functionsuniformly starlike functionsuniformly close-to-convex functionsconic domainsq-calculusdifferential subordinationJanowski functioncardioid domainlimacon domainfractional order unknown input fuzzy observerfractional order Takagi-Sugeno modelsL2 optimizationlinear matrix inequalitiesunmeasurable premise variablesglobal solutionsfractional in time and space shallow-water systemψ-Caputo fractional derivativeHilfer fractional derivativeUlam stabilitypantograph differential equationnonlocal integral conditionMiura transformsoliton equationslogarithmResearch & information: generalMathematics & scienceSrivastava Hari Mohanedt1277894Srivastava Hari MohanothBOOK9910557633003321Fractional-Order Integral and Derivative Operators and Their Applications3012223UNINA