Vai al contenuto principale della pagina

Applied Mathematics and Fractional Calculus



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: González Francisco Martínez Visualizza persona
Titolo: Applied Mathematics and Fractional Calculus Visualizza cluster
Pubblicazione: Basel, 2022
Descrizione fisica: 1 online resource (438 p.)
Soggetto topico: Mathematics and Science
Research and information: general
Soggetto non controllato: Aboodh transform iterative method
Adomian decomposition method
anisotropic Lorentz space
approximate endpoint criterion
approximate solutions
Atangana-Baleanu fractional derivative
Babenko's approach
Banach fixed point theorem
Bessel polynomials
bilateral tempered fractional derivative
boundary value problem
Caputo derivative
Caputo fractional derivative
caputo operator
Caputo q-derivative
Caputo-Fabrizio and Atangana-Baleanu operators
collocation method
collocation points
concave operator
condensing function
conservation laws
convergence analysis
convex functions
degenerate evolution equation
discrete fractional calculus
eigenfunctions and eigenvalues
elastic beam problem
equations
Euler-Lagrange equation
existence
existence and uniqueness
existence of solutions
first fundamental theorem of fractional calculus
fixed point
fixed point theorem
fractional burgers equation
fractional calculus
fractional derivative
fractional derivatives
fractional differential equation
fractional differential equations
fractional Dzhrbashyan-Nersesyan derivative
fractional Fornberg-Whitham equation (FWE)
fractional Kadomtsev-Petviashvili system
fractional KdV equation
fractional Prabhakar derivatives
fractional Sturm-Liouville problems
Fredholm-Volterra integral Equations
gamma function
Gelfand problem
general fractional derivative of arbitrary order
general fractional integral of arbitrary order
Green's function
hermite cubic spline
HHF type inequality
initial boundary value problem
initial value problem
integral transform
lie group analysis
MHD equations
Mittag-Leffler function
nabla fractional difference
natural boundary conditions
natural transform
new iterative transform method
nonlocal conditions
one-sided tempered fractional derivative
optimal controls
order cone
partial differential equation
partial Riemann-Liouville fractional integral
power series solutions
quantum integro-difference BVP
regularity criteria
Riemann-Liouville derivative
Riemann-Liouville fractional difference operator
Riemann-Liouville q-integral
second fundamental theorem of fractional calculus
semigroup theory
separated boundary conditions
Shehu decomposition method
Shehu transform
singular sum fractional q-differential
Sonine kernel
symmetry
tempered fractional derivative
tempered riesz potential
time delay
time-fractional Kaup-Kupershmidt equation
Ulam stability
weak solution
weighted fractional operators
ρ-Laplace decomposition method
ρ-Laplace variational iteration method
φ-Hilfer fractional system with impulses
Persona (resp. second.): KaabarMohammed K. A
GonzálezFrancisco Martínez
Sommario/riassunto: In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until not many years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as: fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing or entropy theory. Since the differential and integral operators of fractional order are nonlinear operators, fractional calculus theory provides a tool for modeling physical processes, which in many cases is more useful than classical formulations. This is why the application of fractional calculus theory has become a focus of international academic research. This Special Issue "Applied Mathematics and Fractional Calculus" has published excellent research studies in the field of applied mathematics and fractional calculus, authored by many well-known mathematicians and scientists from diverse countries worldwide such as China, USA, Canada, Germany, Mexico, Spain, Poland, Portugal, Iran, Tunisia, South Africa, Albania, Thailand, Iraq, Egypt, Italy, India, Russia, Pakistan, Taiwan, Korea, Turkey, and Saudi Arabia.
Titolo autorizzato: Applied Mathematics and Fractional Calculus  Visualizza cluster
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910595073903321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui