Fractional Calculus Operators and the Mittag-Leffler Function |
Autore | Andrić Maja |
Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
Descrizione fisica | 1 electronic resource (258 p.) |
Soggetto topico |
Research & information: general
Mathematics & science |
Soggetto non controllato |
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 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 |
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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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