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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Bibliographic Details
Main Author: Macías Díaz, Jorge E.
Format: eBook
Language:English
Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
Subjects:
N/a
Gpu
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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100 1 |a Macías Díaz, Jorge E. 
245 0 0 |a Fractional Calculus - Theory and Applications  |h Elektronische Ressource 
260 |a Basel  |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2022 
300 |a 1 electronic resource (198 p.) 
653 |a existence 
653 |a Hermite-Hadamard type inequality 
653 |a fractional impulsive differential equations 
653 |a Euler wavelets 
653 |a Mathematics & science / bicssc 
653 |a Caputo fractional derivative 
653 |a n/a 
653 |a fixed point 
653 |a positivity 
653 |a coupled hybrid Sturm-Liouville differential equation 
653 |a group of seven 
653 |a distributed delay 
653 |a fractional order derivative model 
653 |a integral boundary coupled hybrid condition 
653 |a finite time stability 
653 |a fractional differential equations 
653 |a gradient descent 
653 |a numerical approximation 
653 |a heat transfer 
653 |a time-fractional diffusion-wave equations 
653 |a Hadamard-Caputo fractional derivative 
653 |a Mittag-Leffler function 
653 |a Katugampola fractional integral operator 
653 |a instantaneous impulses 
653 |a integral equations 
653 |a dhage type fixed point theorem 
653 |a nonstandard finite-difference method 
653 |a non-instantaneous impulses 
653 |a Riemann-Liouville fractional derivative 
653 |a hybrid differential equations 
653 |a nonlocal boundary conditions 
653 |a time-fractional wave with the time-fractional damped term 
653 |a a spiral-plate heat exchanger 
653 |a Research & information: general / bicssc 
653 |a linear fractional system 
653 |a Hermite-Hadamard-Fejér inequality 
653 |a malaria infection 
653 |a Grünwald-Letnikov scheme 
653 |a stochastic generalized Euler 
653 |a stochastic epidemic model 
653 |a impulsive differential equations 
653 |a economic growth 
653 |a multi-point boundary coupled hybrid condition 
653 |a space-fractional Fokker-Planck operator 
653 |a fractional derivative 
653 |a nonlinear system 
653 |a LR-p-convex interval-valued function 
653 |a GPU 
653 |a Laplace transform 
653 |a random walk of a population 
653 |a potential and current in an electric transmission line 
653 |a coupled systems 
653 |a parallel model 
653 |a boundedness 
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520 |a 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.