04040nam 2200889z- 450 9910367744403321202102113-03921-733-X(CKB)4100000010106273(oapen)https://directory.doabooks.org/handle/20.500.12854/47975(oapen)doab47975(EXLCZ)99410000001010627320202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFractional Differential Equations: Theory, Methods and ApplicationsMDPI - Multidisciplinary Digital Publishing Institute20191 online resource (172 p.)3-03921-732-1 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.Fractional Differential Equations?-fractional derivativeb-vex functionsCaputo Operatorconformable double Laplace decomposition methodconformable fractional derivativeconformable Laplace transformconformable partial fractional derivativecontrollability and observability GramiansConvex Functionsdelay differential systemdelaysdependence on a parameterdistributed delaysenergy inequalityexistence and uniquenessfixed point indexfixed point theorem on mixed monotone operatorsfountain theoremfractional p-Laplacianfractional q-difference equationfractional thermostat modelfractional wave equationfractional-order neural networksfractional-order systemgeneralized convexityHermite-Hadamard's Inequalityimpulsesinitial boundary value problemintegral conditionsJenson Integral InequalityKirchhoff-type equationsLaplace Adomian Decomposition Method (LADM)Lyapunov functionsMittag-Leffler synchronizationmodel order reductionmodified functional methodsMoser iteration methodNavier-Stokes equationnonlinear differential systemoscillationpositive solutionpositive solutionsPower-mean InequalityRazumikhin methodRiemann-Liouville Fractional Integrationsingular one dimensional coupled Burgers' equationsub-b-s-convex functionsNieto Juan Jauth1323467Rodríguez-López RosanaauthBOOK9910367744403321Fractional Differential Equations: Theory, Methods and Applications3035586UNINA