Fractional Calculus - Theory and Applications

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 propertie...

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Year of Publication:2022
Language:English
Physical Description:1 electronic resource (198 p.)
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ctrlnum (CKB)5690000000011917
(oapen)https://directory.doabooks.org/handle/20.500.12854/87413
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spelling Macías Díaz, Jorge E. edt
Fractional Calculus - Theory and Applications
Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
1 electronic resource (198 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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.
English
Research & information: general bicssc
Mathematics & science bicssc
Caputo fractional derivative
fractional differential equations
hybrid differential equations
coupled hybrid Sturm-Liouville differential equation
multi-point boundary coupled hybrid condition
integral boundary coupled hybrid condition
dhage type fixed point theorem
linear fractional system
distributed delay
finite time stability
impulsive differential equations
fractional impulsive differential equations
instantaneous impulses
non-instantaneous impulses
time-fractional diffusion-wave equations
Euler wavelets
integral equations
numerical approximation
coupled systems
Riemann-Liouville fractional derivative
Hadamard-Caputo fractional derivative
nonlocal boundary conditions
existence
fixed point
LR-p-convex interval-valued function
Katugampola fractional integral operator
Hermite-Hadamard type inequality
Hermite-Hadamard-Fejér inequality
space-fractional Fokker-Planck operator
time-fractional wave with the time-fractional damped term
Laplace transform
Mittag-Leffler function
Grünwald-Letnikov scheme
potential and current in an electric transmission line
random walk of a population
fractional derivative
gradient descent
economic growth
group of seven
fractional order derivative model
GPU
a spiral-plate heat exchanger
parallel model
heat transfer
nonlinear system
stochastic epidemic model
malaria infection
stochastic generalized Euler
nonstandard finite-difference method
positivity
boundedness
3-0365-3262-5
3-0365-3263-3
Macías Díaz, Jorge E. oth
language English
format eBook
author2 Macías Díaz, Jorge E.
author_facet Macías Díaz, Jorge E.
author2_variant d j e m dje djem
author2_role Sonstige
title Fractional Calculus - Theory and Applications
spellingShingle Fractional Calculus - Theory and Applications
title_full Fractional Calculus - Theory and Applications
title_fullStr Fractional Calculus - Theory and Applications
title_full_unstemmed Fractional Calculus - Theory and Applications
title_auth Fractional Calculus - Theory and Applications
title_new Fractional Calculus - Theory and Applications
title_sort fractional calculus - theory and applications
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2022
physical 1 electronic resource (198 p.)
isbn 3-0365-3262-5
3-0365-3263-3
illustrated Not Illustrated
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