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Applied Mathematics and Fractional Calculus



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Autore: González Francisco Martínez Visualizza persona
Titolo: Applied Mathematics and Fractional Calculus Visualizza cluster
Pubblicazione: Basel, : MDPI Books, 2022
Descrizione fisica: 1 electronic resource (438 p.)
Soggetto topico: Research & information: general
Mathematics & science
Soggetto non controllato: condensing function
approximate endpoint criterion
quantum integro-difference BVP
existence
fractional Kadomtsev-Petviashvili system
lie group analysis
power series solutions
convergence analysis
conservation laws
symmetry
weighted fractional operators
convex functions
HHF type inequality
fractional calculus
Euler–Lagrange equation
natural boundary conditions
time delay
MHD equations
weak solution
regularity criteria
anisotropic Lorentz space
Sonine kernel
general fractional derivative of arbitrary order
general fractional integral of arbitrary order
first fundamental theorem of fractional calculus
second fundamental theorem of fractional calculus
ρ-Laplace variational iteration method
ρ-Laplace decomposition method
partial differential equation
caputo operator
fractional Fornberg–Whitham equation (FWE)
Riemann–Liouville fractional difference operator
boundary value problem
discrete fractional calculus
existence and uniqueness
Ulam stability
elastic beam problem
tempered fractional derivative
one-sided tempered fractional derivative
bilateral tempered fractional derivative
tempered riesz potential
collocation method
hermite cubic spline
fractional burgers equation
fractional differential equation
fractional Dzhrbashyan–Nersesyan derivative
degenerate evolution equation
initial value problem
initial boundary value problem
partial Riemann–Liouville fractional integral
Babenko’s approach
Banach fixed point theorem
Mittag–Leffler function
gamma function
nabla fractional difference
separated boundary conditions
Green’s function
existence of solutions
Caputo q-derivative
singular sum fractional q-differential
fixed point
equations
Riemann–Liouville q-integral
Shehu transform
Caputo fractional derivative
Shehu decomposition method
new iterative transform method
fractional KdV equation
approximate solutions
Riemann–Liouville derivative
concave operator
fixed point theorem
Gelfand problem
order cone
integral transform
Atangana–Baleanu fractional derivative
Aboodh transform iterative method
φ-Hilfer fractional system with impulses
semigroup theory
nonlocal conditions
optimal controls
fractional derivatives
fractional Prabhakar derivatives
fractional differential equations
fractional Sturm–Liouville problems
eigenfunctions and eigenvalues
Fredholm–Volterra integral Equations
fractional derivative
Bessel polynomials
Caputo derivative
collocation points
Caputo–Fabrizio and Atangana-Baleanu operators
time-fractional Kaup–Kupershmidt equation
natural transform
Adomian decomposition method
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
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