TY - BOOK
AU - Nieto, Juan J.
AU - Rodríguez-López, Rosana
AB - Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.
DO - 10.3390/books978-3-03921-733-5
ID - OAPEN ID: 42652
KW - fractional wave equation
KW - dependence on a parameter
KW - conformable double Laplace decomposition method
KW - Riemann—Liouville Fractional Integration
KW - Lyapunov functions
KW - Power-mean Inequality
KW - modified functional methods
KW - oscillation
KW - fractional-order neural networks
KW - initial boundary value problem
KW - fractional p-Laplacian
KW - model order reduction
KW - ?-fractional derivative
KW - Convex Functions
KW - existence and uniqueness
KW - conformable partial fractional derivative
KW - nonlinear differential system
KW - conformable Laplace transform
KW - Mittag–Leffler synchronization
KW - delays
KW - controllability and observability Gramians
KW - impulses
KW - conformable fractional derivative
KW - Moser iteration method
KW - fractional q-difference equation
KW - energy inequality
KW - b-vex functions
KW - Navier-Stokes equation
KW - fractional-order system
KW - Kirchhoff-type equations
KW - Razumikhin method
KW - Laplace Adomian Decomposition Method (LADM)
KW - fountain theorem
KW - Hermite–Hadamard’s Inequality
KW - distributed delays
KW - Caputo Operator
KW - fractional thermostat model
KW - sub-b-s-convex functions
KW - fixed point theorem on mixed monotone operators
KW - singular one dimensional coupled Burgers’ equation
KW - generalized convexity
KW - delay differential system
KW - positive solutions
KW - positive solution
KW - fixed point index
KW - Jenson Integral Inequality
KW - integral conditions
L1 - https://mdpi.com/books/pdfview/book/1809
LA - English
LK - https://directory.doabooks.org/handle/20.500.12854/47975
PB - MDPI - Multidisciplinary Digital Publishing Institute
PY - 2019
SN - 9783039217335
SN - 9783039217328
TI - Fractional Differential Equations: Theory, Methods and Applicationsnull
ER -