Fractional Calculus - Theory and Applications

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: a spiral-plate heat exchanger; boundedness; Caputo fractional derivative; coupled hybrid Sturm–Liouville differential equation; coupled systems; dhage type fixed point theorem; distributed delay; economic growth; Euler wavelets; existence; finite time stability; fixed point; fractional derivative; fractional differential equations; fractional impulsive differential equations; fractional order derivative model; GPU; gradient descent; group of seven; Grünwald–Letnikov scheme; Hadamard–Caputo fractional derivative; heat transfer; Hermite-Hadamard type inequality; Hermite-Hadamard-Fejér inequality; hybrid differential equations; impulsive differential equations; instantaneous impulses; integral boundary coupled hybrid condition; integral equations; Katugampola fractional integral operator; Laplace transform; linear fractional system; LR-p-convex interval-valued function; malaria infection; Mathematics and Science; Mittag–Leffler function; multi-point boundary coupled hybrid condition; n/a; non-instantaneous impulses; nonlinear system; nonlocal boundary conditions; nonstandard finite-difference method; numerical approximation; parallel model; positivity; potential and current in an electric transmission line; random walk of a population; Reference, Information and Interdisciplinary subjects; Research and information: general; Riemann–Liouville fractional derivative; space–fractional Fokker–Planck operator; stochastic epidemic model; stochastic generalized Euler; time-fractional diffusion-wave equations; time–fractional wave with the time–fractional damped term
• ISBN: 9783036532622; 3036532633; 3036532625; 9783036532639
• DOI: 10.3390/books978-3-0365-3263-9

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.