04787nam 2201249z- 450 9910619461803321202210253-0365-5368-1(CKB)5670000000391657(oapen)https://directory.doabooks.org/handle/20.500.12854/93243(oapen)doab93243(EXLCZ)99567000000039165720202210d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Calculus Operators and the Mittag-Leffler FunctionMDPI - Multidisciplinary Digital Publishing Institute20221 online resource (258 p.)3-0365-5367-3 This 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.Mathematics & sciencebicsscResearch & information: generalbicssc(α, h-m)-p-convex functionAbel-Gontscharoff Green's functionasymptotic behaviorB-splinesBeta functionboundary value problemCaputo fractional derivativeChebyshev inequalityconvex functiondata fittingDirichlet averagesdirichlet splinesdynamical systemsexact solutionexistence and uniquenessextended generalized fractional integralsFejér-Hadamard inequalityfixed pointFox H functionFox-Wright functionfractional calculusfractional calculus operatorsfractional derivativefractional differential equationsfractional integral operatorsfractional partial differential equationgamma functionGamma functionGauss's summation theorem for 2F1(1)generalized hypergeometric functiongeneralized hypergeometric functions tFugeneralized Kummer's summation theorem for 2F1(−1)Generalized Mittag-Leffler functionsgeneralized Mittag-Leffler kernel (GMLK)generalized Mittag-Leffler type functionHermite-Hadamard inequalitiesHermite-Hadamard inequalityHilfer-Hadamard fractional derivativehypergeometric function 2F1hypergeometric functions of one and several variablesinclusionsinitial value problemsinverse subordinatorKummer's summation theorem for 2F1(−1)Lamperti lawLaplace transformLavoie-Trottier integral formulaLegendre polynomialsLegendre spectral collocation methodmagnetic fluidsmagnetizationMittag-LefflerMittag-Leffler functionMittag-Leffler functionMittag-Leffler functionsn/anonlocal boundary conditionsOberhettinger integral formulaorder statisticPochhammer symbolPólya-Szegö inequalityPsi functionrandom time changerecurrence relationsRiemann-Liouville fractional calculus operatorsRiemann-Liouville fractional derivativeRiemann-Liouville fractional integralsseparation of variablesSrivastava-Daoust generalized Lauricella hypergeometric functionSrivastava's polynomialsStirling numbers of the first kindsubordinator and inverse stable subordinatorWright functionκ-Riemann-Liouville fractional integralMathematics & scienceResearch & information: generalAndrić Majaedt1246427Andrić MajaothBOOK9910619461803321Fractional Calculus Operators and the Mittag-Leffler Function3038941UNINA