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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Bibliographische Detailangaben
1. Verfasser:	Nieto, Juan J. (auth)
Weitere Verfasser:	Rodríguez-López, Rosana (auth)
Format:	Buchkapitel
Veröffentlicht:	MDPI - Multidisciplinary Digital Publishing Institute 2019
Schlagworte:	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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Fractional Differential Equations: Theory, Methods and Applications

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