LEADER 04752nam 2201225z- 450 001 9910619461803321 005 20231214133008.0 010 $a3-0365-5368-1 035 $a(CKB)5670000000391657 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/93243 035 $a(EXLCZ)995670000000391657 100 $a20202210d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional Calculus Operators and the Mittag-Leffler Function 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 electronic resource (258 p.) 311 $a3-0365-5367-3 330 $aThis book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag?Leffler function in their kernels are of particular interest. Special attention is given to dynamical models, magnetization, hypergeometric series, initial and boundary value problems, and fractional differential equations, among others. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $afractional derivative 610 $ageneralized Mittag-Leffler kernel (GMLK) 610 $aLegendre polynomials 610 $aLegendre spectral collocation method 610 $adynamical systems 610 $arandom time change 610 $ainverse subordinator 610 $aasymptotic behavior 610 $aMittag-Leffler function 610 $adata fitting 610 $amagnetization 610 $amagnetic fluids 610 $aGamma function 610 $aPsi function 610 $aPochhammer symbol 610 $ahypergeometric function 2F1 610 $ageneralized hypergeometric functions tFu 610 $aGauss's summation theorem for 2F1(1) 610 $aKummer's summation theorem for 2F1(?1) 610 $ageneralized Kummer's summation theorem for 2F1(?1) 610 $aStirling numbers of the first kind 610 $aHilfer-Hadamard fractional derivative 610 $aRiemann-Liouville fractional derivative 610 $aCaputo fractional derivative 610 $afractional differential equations 610 $ainclusions 610 $anonlocal boundary conditions 610 $aexistence and uniqueness 610 $afixed point 610 $agamma function 610 $aBeta function 610 $aMittag-Leffler function 610 $aGeneralized Mittag-Leffler functions 610 $ageneralized hypergeometric function 610 $aFox-Wright function 610 $arecurrence relations 610 $aRiemann-Liouville fractional calculus operators 610 $a(?, h-m)-p-convex function 610 $aFeje?r-Hadamard inequality 610 $aextended generalized fractional integrals 610 $aMittag-Leffler functions 610 $ainitial value problems 610 $aLaplace transform 610 $aexact solution 610 $aChebyshev inequality 610 $aPo?lya-Szego? inequality 610 $afractional integral operators 610 $aWright function 610 $aSrivastava's polynomials 610 $afractional calculus operators 610 $aLavoie-Trottier integral formula 610 $aOberhettinger integral formula 610 $afractional partial differential equation 610 $aboundary value problem 610 $aseparation of variables 610 $aMittag-Leffler 610 $aAbel-Gontscharoff Green's function 610 $aHermite-Hadamard inequalities 610 $aconvex function 610 $a?-Riemann-Liouville fractional integral 610 $aDirichlet averages 610 $aB-splines 610 $adirichlet splines 610 $aRiemann-Liouville fractional integrals 610 $ahypergeometric functions of one and several variables 610 $ageneralized Mittag-Leffler type function 610 $aSrivastava-Daoust generalized Lauricella hypergeometric function 610 $afractional calculus 610 $aHermite-Hadamard inequality 610 $aFox H function 610 $asubordinator and inverse stable subordinator 610 $aLamperti law 610 $aorder statistic 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aAndric?$b Maja$4edt$01246427 702 $aAndric?$b Maja$4oth 906 $aBOOK 912 $a9910619461803321 996 $aFractional Calculus Operators and the Mittag-Leffler Function$93038941 997 $aUNINA