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Fractional Calculus and Special Functions with Applications
| Fractional Calculus and Special Functions with Applications |
| Autore | Özarslan Mehmet Ali |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 online resource (164 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
Abel equations
analytic continuation Appell functions Atangana-Baleanu derivative Atangana-Baleanu fractional calculus boundary conditions calculus of variations Caputo-Hadamard fractional derivative complex integrals coupled system electrical circuits error bound existence existence and uniqueness solution fixed point theorem fixed point theory fractional derivative fractional derivatives fractional derivatives and integrals fractional differential equations fractional integrals fractional Langevin equations fractional modeling fractional-order Caputo derivative operator fractional-order Riemann-Liouville integral operator generating function Hadamard fractional integral hypergeometric function integral representation k-beta function k-gamma function Laplace transforms Mittag-Leffler functions mixed partial derivatives mobile phone worms n/a physical problems Pochhammer symbol Prabhakar fractional calculus real-world problems reduction and transformation formula second Chebyshev wavelet stochastic processes system of Volterra-Fredholm integro-differential equations |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910566459803321 |
Özarslan Mehmet Ali
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional Calculus and the Future of Science
| Fractional Calculus and the Future of Science |
| Autore | West Bruce J |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 online resource (312 p.) |
| Soggetto topico |
Mathematics and Science
Research and information: general |
| Soggetto non controllato |
big data
chaos complex systems complexity continuous time random walk continuous time random walks control theory diffusion-wave equation distributed-order operators diversity Dow Jones entropy false positive rate financial indices fractals fractional calculus fractional conservations laws fractional diffusion fractional dynamics fractional order PID control fractional PINN fractional Poisson process complex systems fractional relaxation fractional telegrapher's equation fractional-order thinking frequency-domain control design Gaussian watermarks heavytailedness Laplace and Fourier transform Lévy measure liouville-caputo fractional derivative local discontinuous Galerkin methods logistic differential equation machine learning Mittag-Leffler functions multidimensional scaling n/a optimal tuning physics-informed learning PMSM Poisson process of order k reaction kinetics reaction-diffusion equations running average semi-fragile watermarking system Skellam process stability estimate statistical assessment subordination telegrapher's equations transport problems transport processes turbulent flows variability variable fractional model viscoelasticity Wright functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910566468103321 |
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West Bruce J
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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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 Equations and Models : Theory and Applications / Trifce Sandev, Živorad Tomovski
| Fractional Equations and Models : Theory and Applications / Trifce Sandev, Živorad Tomovski |
| Autore | Sandev, Trifce |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xviii, 345 p. : ill. ; 24 cm |
| Altri autori (Persone) | Tomovski, Živorad |
| Soggetto topico |
35-XX - Partial differential equations [MSC 2020]
26A33 - Fractional derivatives and integrals [MSC 2020] 35Q84 - Fokker-Planck equations [MSC 2020] 34A08 - Fractional ordinary differential equations and fractional differential inclusions [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] |
| Soggetto non controllato |
Anomalous diffusion
Fractional Calculus Kinetic equations Mittag-Leffler functions Partial differential equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0126876 |
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Sandev, Trifce
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Fractional Equations and Models : Theory and Applications / Trifce Sandev, Živorad Tomovski
| Fractional Equations and Models : Theory and Applications / Trifce Sandev, Živorad Tomovski |
| Autore | Sandev, Trifce |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xviii, 345 p. : ill. ; 24 cm |
| Altri autori (Persone) | Tomovski, Živorad |
| Soggetto topico |
26A33 - Fractional derivatives and integrals [MSC 2020]
34A08 - Fractional ordinary differential equations and fractional differential inclusions [MSC 2020] 35-XX - Partial differential equations [MSC 2020] 35Q84 - Fokker-Planck equations [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] |
| Soggetto non controllato |
Anomalous diffusion
Fractional Calculus Kinetic equations Mittag-Leffler functions Partial Differential Equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00126876 |
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Sandev, Trifce
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Fractional-Order Integral and Derivative Operators and Their Applications
| Fractional-Order Integral and Derivative Operators and Their Applications |
| Autore | Srivastava Hari Mohan |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 online resource (344 p.) |
| Soggetto topico |
Mathematics and Science
Research and information: general |
| Soggetto non controllato |
analytic functions
Appell's functions approximate solution available potassium Banach space cardioid domain close-to-convex functions collocation points confluent hypergeometric function conic and generalized conic domains conic domains controllability convergence analysis convex functions correlation analysis coupled system desert soil differential subordination error analysis field spectrum fractional calculus fractional derivatives fractional differential equations fractional differential systems fractional diffusion equation fractional in time and space shallow-water system fractional integrals fractional order model fractional order Takagi-Sugeno models fractional order unknown input fuzzy observer Gauss hypergeometric function generating functions global solutions Hadamard derivative Hankel determinant Hermite collocation method Hermite polynomials and series Hilfer derivative Hilfer fractional derivative HIV infection impulsive system incomplete fractional calculus initial value problem Janowski function L2 optimization Laplace operators latent reservoir Legendre wavelet length problems limacon domain linear matrix inequalities Liouville_Caputo sense logarithm logarithmic coefficients Mittag-Leffler functions Miura transform mixed Hadamard integral mixed Riemann-Liouville integral monotone iterative method multivalent functions n/a non-linear fractional variational problems nonlocal boundary conditions nonlocal integral condition operational matrix orthogonal polynomials pantograph differential equation piecewise constant functions Post-Exposure Prophylaxis q-calculus q-derivative operator q-hypergeometric functions random solution Rayleigh-Ritz method Riemann-Liouville fractional integral Riemann-stieltjes integral sine function SIR model Sobolev space soliton equations starlike and q-starlike functions starlike function starlike functions subordination systems of fractional order differential equations Toeplitz determinant Toeplitz matrices Ulam stability uniformly close-to-convex functions uniformly starlike functions unique continuation property univalent functions unmeasurable premise variables upper and lower solutions upper bound variable order fractional derivative ψ-Caputo fractional derivative |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557633003321 |
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Srivastava Hari Mohan
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Integral Transforms and Operational Calculus
| Integral Transforms and Operational Calculus |
| Autore | Srivastava Hari Mohan |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 online resource (510 p.) |
| Soggetto topico | History of engineering and technology |
| Soggetto non controllato |
?-convex function
?-generalized Hurwitz-Lerch zeta functions (p Adomian decomposition method advanced and deviated arguments analytic analytic function analytic functions analytic number theory and Genocchi numbers anuran calls Apostol-type polynomials and Apostol-type numbers audio features basic hypergeometric functions Bell numbers Bernoulli Bernoulli spiral Bessel kernel bound on derivatives Caputo fractional derivative Carlitz-type q-tangent numbers Carlitz-type q-tangent polynomials Chebyshev polynomials convergence convex functions convolution quadrature rule cryptography DCT derivative properties determinant definition differential equation differential inclusion differential operator differential subordination direct Hermite collocation method distortion theorems distribution space distributions Dunkl analogue Dziok-Srivastava operator encryption Euler Euler and Genocchi polynomials Euler numbers and polynomials exact solutions existence existence of at least one solution exponential function fixed point Fourier transform fractional integral fractional-order differential equations Fredholm integral equation function spaces and their duals functions of bounded boundary and bounded radius rotations functions with positive real part fuzzy differential equations fuzzy general linear method fuzzy volterra integro-differential equations generalization of exponential function generalized functions generalized Hukuhara differentiability generalized Kuramoto-Sivashinsky equation generalized mittag-leffler function generating functions generating relations Grandi curves Hadamard product Hadamard product (convolution) Hankel determinant Hardy space hash Hermite interpolation higher order q-Euler numbers and polynomials higher order Schwarzian derivatives highly oscillatory highly oscillatory Bessel kernel Hölder condition Hurwitz-Euler eta function Hurwitz-Lerch zeta function inclusion relationships infinite-point boundary conditions initial conditions integral representations Janowski convex function Janowski functions Janowski star-like function K-functional Liouville-Caputo fractional derivative Liouville-Caputo-type fractional derivative Lommel functions Maple graphs Mellin transform meromorphic function MFCC Mittag-Leffler function Mittag-Leffler functions modified Kudryashov method modulus of continuity monomiality principle multi-point multi-strip multiple Hurwitz-Euler eta function natural transform nonlinear boundary value problem nonlinear boundary value problems nonlocal operational methods orthogonality property partial sum password PBKDF piecewise Hermite collocation method pseudo-Chebyshev polynomials q -Hermite-Bernoulli polynomials q -Hermite-Euler polynomials q -Hermite-Genocchi polynomials q -Sheffer-Appell polynomials q-Bleimann-Butzer-Hahn operators q-derivative (or q-difference) operator q-Euler numbers and polynomials q-hypergeometric functions q-polynomials q-starlike functions q)-analogue of tangent numbers and polynomials q)-analogue of tangent zeta function q)-Bernstein operators q)-Bleimann-Butzer-Hahn operators q)-Euler numbers and polynomials of higher order q)-integers radius estimate rate of approximation recurrence relation recurrence relations regular solution Riemann-Stieltjes functional integral Schauder fixed point theorem Schwartz testing function space series representation spectral decomposition spectrum symmetry Srivastava-Tomovski generalization of Mittag-Leffler function starlike and q-starlike functions starlike function starlike functions strongly convex functions strongly starlike functions strongly-starlike function Struve functions subordination sufficient conditions summation formulas symmetric symmetric identities symmetry of the zero Szász operator tangent numbers tangent polynomials tempered distributions the existence of a solution the uniqueness of the solution truncated-exponential polynomials Ulam stability uniformly convex functions uniformly starlike and convex functions univalent functions upper bound vibrating string equation volterra integral equation Volterra integral equations wavelet transform of generalized functions zeros |
| ISBN | 3-03921-619-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367743803321 |
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Srivastava Hari Mohan
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Economics : Application of Fractional Calculus
| Mathematical Economics : Application of Fractional Calculus |
| Autore | Tarasov Vasily E |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 online resource (278 p.) |
| Soggetto topico | Economics, Finance, Business and Management |
| Soggetto non controllato |
business cycle model
Caputo fractional derivative continuous-time random walk (CTRW) deep assessment diffusion equation econometric modelling economic growth economic growth model economic theory economy econophysics efficient market hypothesis Einstein's evolution equation evolutionary computing financial time series analysis Fourier transform fractal market hypothesis fractional calculus fractional diffusion equation fractional dynamics fractional generalization fundamental solution GDP per capita generalized fractional derivatives Group of Twenty growth equation Hopf bifurcation identification Kolmogorov-Feller equation Laplace transform least squares least squares method long memory LSTM mathematical economics Mittag-Leffler function Mittag-Leffler functions modeling modelling n/a non-locality option pricing Phillips curve portfolio hedging prediction pseudo-phase space random market hypothesis risk sensitivities self-affine stochastic fields stability system modeling time delay time-fractional-order |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Mathematical Economics |
| Record Nr. | UNINA-9910557436903321 |
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Tarasov Vasily E
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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