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...
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| Idioma: | anglès |
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MDPI - Multidisciplinary Digital Publishing Institute
2022
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| Accés en línia: | ONIX_20220111_9783036511580_441 |
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| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-76706 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-767062024-03-28T03:32:20Z New developments in Functional and Fractional Differential Equations and in Lie Symmetry Stavroulakis, Ioannis Jafari, H integro–differential systems Cauchy matrix exponential stability distributed control delay differential equation ordinary differential equation asymptotic equivalence approximation eigenvalue oscillation variable delay deviating argument non-monotone argument slowly varying function Crank–Nicolson scheme Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model variable coefficients stability analysis Lane-Emden-Klein-Gordon-Fock system with central symmetry Noether symmetries conservation laws differential equations non-monotone delays fractional calculus stochastic heat equation additive noise chebyshev polynomials of sixth kind error estimate fractional difference equations delay impulses existence fractional Jaulent-Miodek (JM) system fractional logistic function method symmetry analysis lie point symmetry analysis approximate conservation laws approximate nonlinear self-adjointness perturbed fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2022-01-11T13:39:40Z 2022-01-11T13:39:40Z 2021 book ONIX_20220111_9783036511580_441 9783036511580 9783036511597 https://directory.doabooks.org/handle/20.500.12854/76706 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4155 https://mdpi.com/books/pdfview/book/4155 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-1159-7 10.3390/books978-3-0365-1159-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036511580 9783036511597 155 Basel, Switzerland open access |
| spellingShingle | integro–differential systems Cauchy matrix exponential stability distributed control delay differential equation ordinary differential equation asymptotic equivalence approximation eigenvalue oscillation variable delay deviating argument non-monotone argument slowly varying function Crank–Nicolson scheme Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model variable coefficients stability analysis Lane-Emden-Klein-Gordon-Fock system with central symmetry Noether symmetries conservation laws differential equations non-monotone delays fractional calculus stochastic heat equation additive noise chebyshev polynomials of sixth kind error estimate fractional difference equations delay impulses existence fractional Jaulent-Miodek (JM) system fractional logistic function method symmetry analysis lie point symmetry analysis approximate conservation laws approximate nonlinear self-adjointness perturbed fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title | New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title_full | New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title_fullStr | New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title_full_unstemmed | New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title_short | New developments in Functional and Fractional Differential Equations and in Lie Symmetry |
| title_sort | new developments in functional and fractional differential equations and in lie symmetry |
| topic | integro–differential systems Cauchy matrix exponential stability distributed control delay differential equation ordinary differential equation asymptotic equivalence approximation eigenvalue oscillation variable delay deviating argument non-monotone argument slowly varying function Crank–Nicolson scheme Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model variable coefficients stability analysis Lane-Emden-Klein-Gordon-Fock system with central symmetry Noether symmetries conservation laws differential equations non-monotone delays fractional calculus stochastic heat equation additive noise chebyshev polynomials of sixth kind error estimate fractional difference equations delay impulses existence fractional Jaulent-Miodek (JM) system fractional logistic function method symmetry analysis lie point symmetry analysis approximate conservation laws approximate nonlinear self-adjointness perturbed fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | integro–differential systems Cauchy matrix exponential stability distributed control delay differential equation ordinary differential equation asymptotic equivalence approximation eigenvalue oscillation variable delay deviating argument non-monotone argument slowly varying function Crank–Nicolson scheme Shifted Grünwald–Letnikov approximation space fractional convection-diffusion model variable coefficients stability analysis Lane-Emden-Klein-Gordon-Fock system with central symmetry Noether symmetries conservation laws differential equations non-monotone delays fractional calculus stochastic heat equation additive noise chebyshev polynomials of sixth kind error estimate fractional difference equations delay impulses existence fractional Jaulent-Miodek (JM) system fractional logistic function method symmetry analysis lie point symmetry analysis approximate conservation laws approximate nonlinear self-adjointness perturbed fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220111_9783036511580_441 |