Fractional Calculus Operators and the Mittag-Leffler Function

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 gi...

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Bibliografske podrobnosti
Format:	Online
Jezik:	angleščina
Izdano:	MDPI - Multidisciplinary Digital Publishing Institute 2022
Teme:	fractional derivative generalized Mittag-Leffler kernel (GMLK) Legendre polynomials Legendre spectral collocation method dynamical systems random time change inverse subordinator asymptotic behavior Mittag–Leffler function data fitting magnetization magnetic fluids Gamma function Psi function Pochhammer symbol hypergeometric function 2F1 generalized hypergeometric functions tFu Gauss’s summation theorem for 2F1(1) Kummer’s summation theorem for 2F1(−1) generalized Kummer’s summation theorem for 2F1(−1) Stirling numbers of the first kind Hilfer–Hadamard fractional derivative Riemann–Liouville fractional derivative Caputo fractional derivative fractional differential equations inclusions nonlocal boundary conditions existence and uniqueness fixed point gamma function Beta function Mittag-Leffler function Generalized Mittag-Leffler functions generalized hypergeometric function Fox–Wright function recurrence relations Riemann–Liouville fractional calculus operators (α, h-m)-p-convex function Fejér–Hadamard inequality extended generalized fractional integrals Mittag–Leffler functions initial value problems Laplace transform exact solution Chebyshev inequality Pólya-Szegö inequality fractional integral operators Wright function Srivastava’s polynomials fractional calculus operators Lavoie–Trottier integral formula Oberhettinger integral formula fractional partial differential equation boundary value problem separation of variables Mittag-Leffler Abel-Gontscharoff Green’s function Hermite-Hadamard inequalities convex function κ-Riemann-Liouville fractional integral Dirichlet averages B-splines dirichlet splines Riemann–Liouville fractional integrals hypergeometric functions of one and several variables generalized Mittag-Leffler type function Srivastava–Daoust generalized Lauricella hypergeometric function fractional calculus Hermite–Hadamard inequality Fox H function subordinator and inverse stable subordinator Lamperti law order statistic n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science
Online dostop:	ONIX_20221025_9783036553672_96
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Izvleček:	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.

Fractional Calculus Operators and the Mittag-Leffler Function

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