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 | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional Differential Equations, Inclusions and Inequalities with Applications
| Fractional Differential Equations, Inclusions and Inequalities with Applications |
| Autore | Ntouyas Sotiris K |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 online resource (518 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
anti-periodic boundary value problems
arbitrary order differential equations boundary value problem caputo fractional derivative Caputo fractional derivative Caputo-Fabrizio fractional differential equations caputo-type fractional derivative Caputo-type fractional derivative Caputo's fractional derivative condensing multivalued map conformable derivative conformable double Laplace decomposition method conformable fractional calculus conformable Laplace transform conformable partial derivative continuous dependence convergence estimates convex function convex functions coupled system coupled system of fractional difference equations differential inclusions discrete half-line distributed delay existence existence and uniqueness of solution existence of solutions existence theory exponential kernel exponentially convex function fixed point fixed point theorem fixed-point theorems fractal space fractional bennett's inequality fractional calculus fractional copson's inequality fractional derivative fractional derivatives fractional differential equation fractional differential inclusions fractional evolution inclusions fractional hardy's inequality fractional hölder inequality fractional integral fractional integral inequalities fractional integrals fractional leindler's inequality fractional q-difference inclusion fractional sum fractional sum-difference equations functional fractional differential inclusions generalized fractional integral generalized Liouville-Caputo derivative generalized Riemann-liouville fractional integrals green function Green's function Hadamard fractional derivative hadamard proportional fractional integrals Hermite-Hadamard inequalities Hermite-Hadamard inequality Hermite-Hadamard type inequalities Hermite-Hadamard-type inequalities HU stability Hyers-Ulam stability ill-posed problem impulses inequalities integral representation integro-multipoint boundary conditions interval-valued functions inverse problem iterative method Katugampola fractional integrals Langevin equation matrix theory measure of noncompactness mild solutions multiple positive solution neutral fractional systems non-instantaneous impulsive equations nonlocal nonlocal boundary conditions nonlocal fractional delta-nabla sum boundary value problem Ostrowski type inequality Perov-type fixed point theorem positive solution positive solutions positivity of solution proportional fractional integrals q-integro-difference equation Qi inequality random impulsive and junction points Riemann-Liouville fractional integral Riemann-Liouville fractional integrals Riemann-Liouville type fractional problem s-convex function sequential fractional delta-nabla sum-difference equations singular one dimensional coupled Burgers' equation solution stability theory the index of fixed point the method of lower and upper solutions three-point boundary-value problem time-fractional diffusion equation timescales Ulam-Hyers stability uniqueness ψ-Riesz-Caputo derivative |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557731003321 |
Ntouyas Sotiris K
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Lo trovi qui: Univ. Federico II | ||
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