Fractional Calculus - Theory and Applications

doi:10.3390/books978-3-0365-3263-9

dc.contributor.editor	Macías Díaz, Jorge E.
dc.date.accessioned	2022-07-06T11:48:26Z
dc.date.available	2022-07-06T11:48:26Z
dc.date.issued	2022
dc.identifier	ONIX_20220706_9783036532622_8
dc.identifier.uri	https://directory.doabooks.org/handle/20.500.12854/87413
dc.description.abstract	In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover, rigorous analysis of the functional properties of these new definitions has been an active area of research in mathematical analysis. Systems considering differential equations with fractional-order operators have been investigated thoroughly from analytical and numerical points of view, and potential applications have been proposed for use in sciences and in technology. The purpose of this Special Issue is to serve as a specialized forum for the dissemination of recent progress in the theory of fractional calculus and its potential applications.
dc.language	English
dc.subject.classification	thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general	en_US
dc.subject.classification	thema EDItEUR::P Mathematics and Science	en_US
dc.subject.other	Caputo fractional derivative
dc.subject.other	fractional differential equations
dc.subject.other	hybrid differential equations
dc.subject.other	coupled hybrid Sturm–Liouville differential equation
dc.subject.other	multi-point boundary coupled hybrid condition
dc.subject.other	integral boundary coupled hybrid condition
dc.subject.other	dhage type fixed point theorem
dc.subject.other	linear fractional system
dc.subject.other	distributed delay
dc.subject.other	finite time stability
dc.subject.other	impulsive differential equations
dc.subject.other	fractional impulsive differential equations
dc.subject.other	instantaneous impulses
dc.subject.other	non-instantaneous impulses
dc.subject.other	time-fractional diffusion-wave equations
dc.subject.other	Euler wavelets
dc.subject.other	integral equations
dc.subject.other	numerical approximation
dc.subject.other	coupled systems
dc.subject.other	Riemann–Liouville fractional derivative
dc.subject.other	Hadamard–Caputo fractional derivative
dc.subject.other	nonlocal boundary conditions
dc.subject.other	existence
dc.subject.other	fixed point
dc.subject.other	LR-p-convex interval-valued function
dc.subject.other	Katugampola fractional integral operator
dc.subject.other	Hermite-Hadamard type inequality
dc.subject.other	Hermite-Hadamard-Fejér inequality
dc.subject.other	space–fractional Fokker–Planck operator
dc.subject.other	time–fractional wave with the time–fractional damped term
dc.subject.other	Laplace transform
dc.subject.other	Mittag–Leffler function
dc.subject.other	Grünwald–Letnikov scheme
dc.subject.other	potential and current in an electric transmission line
dc.subject.other	random walk of a population
dc.subject.other	fractional derivative
dc.subject.other	gradient descent
dc.subject.other	economic growth
dc.subject.other	group of seven
dc.subject.other	fractional order derivative model
dc.subject.other	GPU
dc.subject.other	a spiral-plate heat exchanger
dc.subject.other	parallel model
dc.subject.other	heat transfer
dc.subject.other	nonlinear system
dc.subject.other	stochastic epidemic model
dc.subject.other	malaria infection
dc.subject.other	stochastic generalized Euler
dc.subject.other	nonstandard finite-difference method
dc.subject.other	positivity
dc.subject.other	boundedness
dc.subject.other	n/a
dc.title	Fractional Calculus - Theory and Applications
dc.type	book
oapen.identifier.doi	10.3390/books978-3-0365-3263-9
oapen.relation.isPublishedBy	46cabcaa-dd94-4bfe-87b4-55023c1b36d0
oapen.relation.isbn	9783036532622
oapen.relation.isbn	9783036532639
oapen.pages	198
oapen.place.publication	Basel

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