Fractional Calculus Operators and the Mittag-Leffler Function

• Autore: Andrić Maja
• Pubblicazione: MDPI - Multidisciplinary Digital Publishing Institute, 2022
• Descrizione fisica: 1 online resource (258 p.)
• Soggetto topico: Mathematics & science; Research & information: general
• Soggetto non controllato: (α, h-m)-p-convex function; Abel-Gontscharoff Green's function; asymptotic behavior; B-splines; Beta function; boundary value problem; Caputo fractional derivative; Chebyshev inequality; convex function; data fitting; Dirichlet averages; dirichlet splines; dynamical systems; exact solution; existence and uniqueness; extended generalized fractional integrals; Fejér-Hadamard inequality; fixed point; Fox H function; Fox-Wright function; fractional calculus; fractional calculus operators; fractional derivative; fractional differential equations; fractional integral operators; fractional partial differential equation; gamma function; Gamma function; Gauss's summation theorem for 2F1(1); generalized hypergeometric function; generalized hypergeometric functions tFu; generalized Kummer's summation theorem for 2F1(−1); Generalized Mittag-Leffler functions; generalized Mittag-Leffler kernel (GMLK); generalized Mittag-Leffler type function; Hermite-Hadamard inequalities; Hermite-Hadamard inequality; Hilfer-Hadamard fractional derivative; hypergeometric function 2F1; hypergeometric functions of one and several variables; inclusions; initial value problems; inverse subordinator; Kummer's summation theorem for 2F1(−1); Lamperti law; Laplace transform; Lavoie-Trottier integral formula; Legendre polynomials; Legendre spectral collocation method; magnetic fluids; magnetization; Mittag-Leffler; Mittag-Leffler function; Mittag-Leffler functions; n/a; nonlocal boundary conditions; Oberhettinger integral formula; order statistic; Pochhammer symbol; Pólya-Szegö inequality; Psi function; random time change; recurrence relations; Riemann-Liouville fractional calculus operators; Riemann-Liouville fractional derivative; Riemann-Liouville fractional integrals; separation of variables; Srivastava-Daoust generalized Lauricella hypergeometric function; Srivastava's polynomials; Stirling numbers of the first kind; subordinator and inverse stable subordinator; Wright function; κ-Riemann-Liouville fractional integral
• Persona (resp. second.): AndrićMaja
• Sommario/riassunto: 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.
• Titolo autorizzato: Fractional Calculus Operators and the Mittag-Leffler Function
• ISBN: 3-0365-5368-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910619461803321
• Lo trovi qui: Univ. Federico II