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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  
MDPI - Multidisciplinary Digital Publishing Institute, 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui