Fractional Differential Equations: Theory, Methods and Applications

Fractional Differential Equations: Theory, Methods and Applications

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...

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Bibliographic Details
Main Author: Nieto, Juan J. (auth)
Other Authors: Rodríguez-López, Rosana (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
fractional wave equation
dependence on a parameter
conformable double Laplace decomposition method
Riemann-Liouville Fractional Integration
Lyapunov functions
Power-mean Inequality
modified functional methods
oscillation
fractional-order neural networks
initial boundary value problem
fractional p-Laplacian
model order reduction
?-fractional derivative
Convex Functions
existence and uniqueness
conformable partial fractional derivative
nonlinear differential system
conformable Laplace transform
Mittag-Leffler synchronization
delays
controllability and observability Gramians
impulses
conformable fractional derivative
Moser iteration method
fractional q-difference equation
energy inequality
b-vex functions
Navier-Stokes equation
fractional-order system
Kirchhoff-type equations
Razumikhin method
Laplace Adomian Decomposition Method (LADM)
fountain theorem
Hermite-Hadamard's Inequality
distributed delays
Caputo Operator
fractional thermostat model
sub-b-s-convex functions
fixed point theorem on mixed monotone operators
singular one dimensional coupled Burgers' equation
generalized convexity
delay differential system
positive solutions
positive solution
fixed point index
Jenson Integral Inequality
integral conditions
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