New developments in Functional and Fractional Differential Equations and in Lie Symmetry
Delay, 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 fo...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Book Chapter |
| Published: |
Basel, Switzerland
MDPI - Multidisciplinary Digital Publishing Institute
2021
|
| Subjects: | |
| Online Access: | Get Fullteks DOAB: description of the publication |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 05121naaaa2200805uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_76706 | ||
| 005 | 20220111 | ||
| 020 | |a books978-3-0365-1159-7 | ||
| 020 | |a 9783036511580 | ||
| 020 | |a 9783036511597 | ||
| 024 | 7 | |a 10.3390/books978-3-0365-1159-7 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 072 | 7 | |a GP |2 bicssc | |
| 072 | 7 | |a P |2 bicssc | |
| 100 | 1 | |a Stavroulakis, Ioannis |4 edt | |
| 700 | 1 | |a Jafari, H |4 edt | |
| 700 | 1 | |a Stavroulakis, Ioannis |4 oth | |
| 700 | 1 | |a Jafari, H |4 oth | |
| 245 | 1 | 0 | |a New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| 260 | |a Basel, Switzerland |b MDPI - Multidisciplinary Digital Publishing Institute |c 2021 | ||
| 300 | |a 1 electronic resource (155 p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a Delay, 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by/4.0/ |2 cc |4 https://creativecommons.org/licenses/by/4.0/ | ||
| 546 | |a English | ||
| 650 | 7 | |a Research & information: general |2 bicssc | |
| 650 | 7 | |a Mathematics & science |2 bicssc | |
| 653 | |a integro-differential systems | ||
| 653 | |a Cauchy matrix | ||
| 653 | |a exponential stability | ||
| 653 | |a distributed control | ||
| 653 | |a delay differential equation | ||
| 653 | |a ordinary differential equation | ||
| 653 | |a asymptotic equivalence | ||
| 653 | |a approximation | ||
| 653 | |a eigenvalue | ||
| 653 | |a oscillation | ||
| 653 | |a variable delay | ||
| 653 | |a deviating argument | ||
| 653 | |a non-monotone argument | ||
| 653 | |a slowly varying function | ||
| 653 | |a Crank-Nicolson scheme | ||
| 653 | |a Shifted Grünwald-Letnikov approximation | ||
| 653 | |a space fractional convection-diffusion model | ||
| 653 | |a variable coefficients | ||
| 653 | |a stability analysis | ||
| 653 | |a Lane-Emden-Klein-Gordon-Fock system with central symmetry | ||
| 653 | |a Noether symmetries | ||
| 653 | |a conservation laws | ||
| 653 | |a differential equations | ||
| 653 | |a non-monotone delays | ||
| 653 | |a fractional calculus | ||
| 653 | |a stochastic heat equation | ||
| 653 | |a additive noise | ||
| 653 | |a chebyshev polynomials of sixth kind | ||
| 653 | |a error estimate | ||
| 653 | |a fractional difference equations | ||
| 653 | |a delay | ||
| 653 | |a impulses | ||
| 653 | |a existence | ||
| 653 | |a fractional Jaulent-Miodek (JM) system | ||
| 653 | |a fractional logistic function method | ||
| 653 | |a symmetry analysis | ||
| 653 | |a lie point symmetry analysis | ||
| 653 | |a approximate conservation laws | ||
| 653 | |a approximate nonlinear self-adjointness | ||
| 653 | |a perturbed fractional differential equations | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://mdpi.com/books/pdfview/book/4155 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/76706 |7 0 |z DOAB: description of the publication |