Fractional Differential Equations: Theory, Methods and Applications

• Autor principal: Nieto, Juan J. (auth)
• Otros Autores: Rodríguez-López, Rosana (auth)
• Formato: Electrónico Capítulo de libro
• Lenguaje: inglés
• Publicado: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Materias: 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
• Acceso en línea: DOAB: download the publication; DOAB: description of the publication

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...