LEADER 04040nam 2200889z- 450 001 9910367744403321 005 20210211 010 $a3-03921-733-X 035 $a(CKB)4100000010106273 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/47975 035 $a(oapen)doab47975 035 $a(EXLCZ)994100000010106273 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aFractional Differential Equations: Theory, Methods and Applications 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 online resource (172 p.) 311 08$a3-03921-732-1 330 $aFractional 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. 517 $aFractional Differential Equations 610 $a?-fractional derivative 610 $ab-vex functions 610 $aCaputo Operator 610 $aconformable double Laplace decomposition method 610 $aconformable fractional derivative 610 $aconformable Laplace transform 610 $aconformable partial fractional derivative 610 $acontrollability and observability Gramians 610 $aConvex Functions 610 $adelay differential system 610 $adelays 610 $adependence on a parameter 610 $adistributed delays 610 $aenergy inequality 610 $aexistence and uniqueness 610 $afixed point index 610 $afixed point theorem on mixed monotone operators 610 $afountain theorem 610 $afractional p-Laplacian 610 $afractional q-difference equation 610 $afractional thermostat model 610 $afractional wave equation 610 $afractional-order neural networks 610 $afractional-order system 610 $ageneralized convexity 610 $aHermite-Hadamard's Inequality 610 $aimpulses 610 $ainitial boundary value problem 610 $aintegral conditions 610 $aJenson Integral Inequality 610 $aKirchhoff-type equations 610 $aLaplace Adomian Decomposition Method (LADM) 610 $aLyapunov functions 610 $aMittag-Leffler synchronization 610 $amodel order reduction 610 $amodified functional methods 610 $aMoser iteration method 610 $aNavier-Stokes equation 610 $anonlinear differential system 610 $aoscillation 610 $apositive solution 610 $apositive solutions 610 $aPower-mean Inequality 610 $aRazumikhin method 610 $aRiemann-Liouville Fractional Integration 610 $asingular one dimensional coupled Burgers' equation 610 $asub-b-s-convex functions 700 $aNieto$b Juan J$4auth$01323467 702 $aRodríguez-López$b Rosana$4auth 906 $aBOOK 912 $a9910367744403321 996 $aFractional Differential Equations: Theory, Methods and Applications$93035586 997 $aUNINA