LEADER 06155nam 2201501z- 450 001 9910557633003321 005 20231214133057.0 035 $a(CKB)5400000000045084 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68986 035 $a(EXLCZ)995400000000045084 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional-Order Integral and Derivative Operators and Their Applications 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (344 p.) 311 $a3-03936-650-5 311 $a3-03936-651-3 330 $aIn 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. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $aLegendre wavelet 610 $aoperational matrix 610 $asystems of fractional order differential equations 610 $aLiouville_Caputo sense 610 $aanalytic functions 610 $astarlike functions 610 $aunivalent functions 610 $alength problems 610 $aSIR model 610 $aHermite collocation method 610 $aapproximate solution 610 $aHermite polynomials and series 610 $acollocation points 610 $astarlike and q-starlike functions 610 $aq-derivative operator 610 $aq-hypergeometric functions 610 $aconic and generalized conic domains 610 $aHankel determinant 610 $aToeplitz matrices 610 $afractional differential equations 610 $aRiemann-stieltjes integral 610 $amonotone iterative method 610 $aupper and lower solutions 610 $afractional diffusion equation 610 $acontrollability 610 $aimpulsive system 610 $aunique continuation property 610 $anon-linear fractional variational problems 610 $aorthogonal polynomials 610 $aRayleigh-Ritz method 610 $aerror analysis 610 $aconvergence analysis 610 $aBanach space 610 $aSobolev space 610 $aLaplace operators 610 $anonlocal boundary conditions 610 $afractional differential systems 610 $amixed Riemann-Liouville integral 610 $amixed Hadamard integral 610 $aHilfer derivative 610 $aHadamard derivative 610 $acoupled system 610 $arandom solution 610 $avariable order fractional derivative 610 $ainitial value problem 610 $apiecewise constant functions 610 $astarlike function 610 $aToeplitz determinant 610 $asine function 610 $aupper bound 610 $aconvex functions 610 $asubordination 610 $alogarithmic coefficients 610 $aGauss hypergeometric function 610 $aconfluent hypergeometric function 610 $aAppell's functions 610 $aincomplete fractional calculus 610 $aRiemann-Liouville fractional integral 610 $agenerating functions 610 $afractional integrals 610 $afractional derivatives 610 $aMittag-Leffler functions 610 $afield spectrum 610 $afractional calculus 610 $adesert soil 610 $aavailable potassium 610 $acorrelation analysis 610 $aPost-Exposure Prophylaxis 610 $alatent reservoir 610 $aHIV infection 610 $afractional order model 610 $amultivalent functions 610 $aclose-to-convex functions 610 $auniformly starlike functions 610 $auniformly close-to-convex functions 610 $aconic domains 610 $aq-calculus 610 $adifferential subordination 610 $aJanowski function 610 $acardioid domain 610 $alimacon domain 610 $afractional order unknown input fuzzy observer 610 $afractional order Takagi-Sugeno models 610 $aL2 optimization 610 $alinear matrix inequalities 610 $aunmeasurable premise variables 610 $aglobal solutions 610 $afractional in time and space shallow-water system 610 $a?-Caputo fractional derivative 610 $aHilfer fractional derivative 610 $aUlam stability 610 $apantograph differential equation 610 $anonlocal integral condition 610 $aMiura transform 610 $asoliton equations 610 $alogarithm 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aSrivastava$b Hari Mohan$4edt$01277894 702 $aSrivastava$b Hari Mohan$4oth 906 $aBOOK 912 $a9910557633003321 996 $aFractional-Order Integral and Derivative Operators and Their Applications$93012223 997 $aUNINA