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Fractional Calculus Operators and the Mittag-Leffler Function
| Fractional Calculus Operators and the Mittag-Leffler Function |
| Autore | Andrić Maja |
| Pubbl/distr/stampa | 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 |
| ISBN | 3-0365-5368-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910619461803321 |
Andrić Maja
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| MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional Integrals and Derivatives: "True" versus "False"
| Fractional Integrals and Derivatives: "True" versus "False" |
| Autore | Luchko Yuri |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (280 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
fractional derivatives
fractional integrals fractional calculus fractional anti-derivatives fractional operators integral transforms convergent series fractional integral fractional derivative numerical approximation translation operator distributed lag time delay scaling dilation memory depreciation probability distribution fractional models fractional differentiation distributed time delay systems Volterra equation adsorption fractional differential equations numerical methods smoothness assumptions persistent memory initial values existence uniqueness Crank–Nicolson scheme weighted Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model stability analysis convergence order Caputo–Fabrizio operator Atangana–Baleanu operator fractional falculus general fractional derivative general fractional integral Sonine condition fractional relaxation equation fractional diffusion equation Cauchy problem initial-boundary-value problem inverse problem fractional calculus operators special functions generalized hypergeometric functions integral transforms of special functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Fractional Integrals and Derivatives |
| Record Nr. | UNINA-9910557719203321 |
|
Luchko Yuri
|
||
| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||