LEADER 05165nam 2200853z- 450 001 9910557551803321 005 20231214133147.0 035 $a(CKB)5400000000044088 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/76706 035 $a(EXLCZ)995400000000044088 100 $a20202201d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNew developments in Functional and Fractional Differential Equations and in Lie Symmetry 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 electronic resource (155 p.) 311 $a3-0365-1158-X 311 $a3-0365-1159-8 330 $aDelay, difference, functional, fractional, and partial differential equations have many applications in science and engineering. In this Special Issue, 29 experts co-authored 10 papers dealing with these subjects. A summary of the main points of these papers follows:Several oscillation conditions for a first-order linear differential equation with non-monotone delay are established in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, whereas a sharp oscillation criterion using the notion of slowly varying functions is established in A Sharp Oscillation Criterion for a Linear Differential Equation with Variable Delay. The approximation of a linear autonomous differential equation with a small delay is considered in Approximation of a Linear Autonomous Differential Equation with Small Delay; the model of infection diseases by Marchuk is studied in Around the Model of Infection Disease: The Cauchy Matrix and Its Properties. Exact solutions to fractional-order Fokker?Planck equations are presented in New Exact Solutions and Conservation Laws to the Fractional-Order Fokker?Planck Equations, and a spectral collocation approach to solving a class of time-fractional stochastic heat equations driven by Brownian motion is constructed in A Collocation Approach for Solving Time-Fractional Stochastic Heat Equation Driven by an Additive Noise. A finite difference approximation method for a space fractional convection-diffusion model with variable coefficients is proposed in Finite Difference Approximation Method for a Space Fractional Convection?Diffusion Equation with Variable Coefficients; existence results for a nonlinear fractional difference equation with delay and impulses are established in On Nonlinear Fractional Difference Equation with Delay and Impulses. A complete Noether symmetry analysis of a generalized coupled Lane?Emden?Klein?Gordon?Fock system with central symmetry is provided in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, and new soliton solutions of a fractional Jaulent soliton Miodek system via symmetry analysis are presented in New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $aintegro?differential systems 610 $aCauchy matrix 610 $aexponential stability 610 $adistributed control 610 $adelay differential equation 610 $aordinary differential equation 610 $aasymptotic equivalence 610 $aapproximation 610 $aeigenvalue 610 $aoscillation 610 $avariable delay 610 $adeviating argument 610 $anon-monotone argument 610 $aslowly varying function 610 $aCrank?Nicolson scheme 610 $aShifted Grünwald?Letnikov approximation 610 $aspace fractional convection-diffusion model 610 $avariable coefficients 610 $astability analysis 610 $aLane-Emden-Klein-Gordon-Fock system with central symmetry 610 $aNoether symmetries 610 $aconservation laws 610 $adifferential equations 610 $anon-monotone delays 610 $afractional calculus 610 $astochastic heat equation 610 $aadditive noise 610 $achebyshev polynomials of sixth kind 610 $aerror estimate 610 $afractional difference equations 610 $adelay 610 $aimpulses 610 $aexistence 610 $afractional Jaulent-Miodek (JM) system 610 $afractional logistic function method 610 $asymmetry analysis 610 $alie point symmetry analysis 610 $aapproximate conservation laws 610 $aapproximate nonlinear self-adjointness 610 $aperturbed fractional differential equations 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aStavroulakis$b Ioannis$4edt$01323475 702 $aJafari$b H$4edt 702 $aStavroulakis$b Ioannis$4oth 702 $aJafari$b H$4oth 906 $aBOOK 912 $a9910557551803321 996 $aNew developments in Functional and Fractional Differential Equations and in Lie Symmetry$93035598 997 $aUNINA