Advances in Differential and Difference Equations with Applications 2020
It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete anal...
সংরক্ষণ করুন:
| বিন্যাস: | Online |
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| ভাষা: | ইংরেজি |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | ONIX_20210501_9783039368709_687 |
| ট্যাগগুলো: |
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| _version_ | 1869521901800390656 |
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| collection | Directory of Open Access Books |
| description | It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations. |
| format | Online |
| id | doab-20.500.12854ir-68941 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-689412024-03-28T03:32:20Z Advances in Differential and Difference Equations with Applications 2020 Baleanu, Dumitru dynamic equations time scales classification existence necessary and sufficient conditions fractional calculus triangular fuzzy number double-parametric form FRDTM fractional dynamical model of marriage approximate controllability degenerate evolution equation fractional Caputo derivative sectorial operator fractional symmetric Hahn integral fractional symmetric Hahn difference operator Arrhenius activation energy rotating disk Darcy–Forchheimer flow binary chemical reaction nanoparticles numerical solution fractional differential equations two-dimensional wavelets finite differences fractional diffusion-wave equation fractional derivative ill-posed problem Tikhonov regularization method non-linear differential equation cubic B-spline central finite difference approximations absolute errors second order differential equations mild solution non-instantaneous impulses Kuratowski measure of noncompactness Darbo fixed point multi-stage method multi-step method Runge–Kutta method backward difference formula stiff system numerical solutions Riemann-Liouville fractional integral Caputo fractional derivative fractional Taylor vector kerosene oil-based fluid stagnation point carbon nanotubes variable thicker surface thermal radiation differential equations symmetric identities degenerate Hermite polynomials complex zeros oscillation third order mixed neutral differential equations powers of stochastic Gompertz diffusion models powers of stochastic lognormal diffusion models estimation in diffusion process stationary distribution and ergodicity trend function application to simulated data n-th order linear differential equation two-point boundary value problem Green function linear differential equation exponential stability linear output feedback stabilization uncertain system nonlocal effects linear control system Hilbert space state feedback control exact controllability upper Bohl exponent thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations. 2021-05-01T15:33:14Z 2021-05-01T15:33:14Z 2020 book ONIX_20210501_9783039368709_687 9783039368709 9783039368716 https://directory.doabooks.org/handle/20.500.12854/68941 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2708 https://mdpi.com/books/pdfview/book/2708 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-871-6 10.3390/books978-3-03936-871-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039368709 9783039368716 348 Basel, Switzerland open access |
| spellingShingle | dynamic equations time scales classification existence necessary and sufficient conditions fractional calculus triangular fuzzy number double-parametric form FRDTM fractional dynamical model of marriage approximate controllability degenerate evolution equation fractional Caputo derivative sectorial operator fractional symmetric Hahn integral fractional symmetric Hahn difference operator Arrhenius activation energy rotating disk Darcy–Forchheimer flow binary chemical reaction nanoparticles numerical solution fractional differential equations two-dimensional wavelets finite differences fractional diffusion-wave equation fractional derivative ill-posed problem Tikhonov regularization method non-linear differential equation cubic B-spline central finite difference approximations absolute errors second order differential equations mild solution non-instantaneous impulses Kuratowski measure of noncompactness Darbo fixed point multi-stage method multi-step method Runge–Kutta method backward difference formula stiff system numerical solutions Riemann-Liouville fractional integral Caputo fractional derivative fractional Taylor vector kerosene oil-based fluid stagnation point carbon nanotubes variable thicker surface thermal radiation differential equations symmetric identities degenerate Hermite polynomials complex zeros oscillation third order mixed neutral differential equations powers of stochastic Gompertz diffusion models powers of stochastic lognormal diffusion models estimation in diffusion process stationary distribution and ergodicity trend function application to simulated data n-th order linear differential equation two-point boundary value problem Green function linear differential equation exponential stability linear output feedback stabilization uncertain system nonlocal effects linear control system Hilbert space state feedback control exact controllability upper Bohl exponent thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Advances in Differential and Difference Equations with Applications 2020 |
| title | Advances in Differential and Difference Equations with Applications 2020 |
| title_full | Advances in Differential and Difference Equations with Applications 2020 |
| title_fullStr | Advances in Differential and Difference Equations with Applications 2020 |
| title_full_unstemmed | Advances in Differential and Difference Equations with Applications 2020 |
| title_short | Advances in Differential and Difference Equations with Applications 2020 |
| title_sort | advances in differential and difference equations with applications 2020 |
| topic | dynamic equations time scales classification existence necessary and sufficient conditions fractional calculus triangular fuzzy number double-parametric form FRDTM fractional dynamical model of marriage approximate controllability degenerate evolution equation fractional Caputo derivative sectorial operator fractional symmetric Hahn integral fractional symmetric Hahn difference operator Arrhenius activation energy rotating disk Darcy–Forchheimer flow binary chemical reaction nanoparticles numerical solution fractional differential equations two-dimensional wavelets finite differences fractional diffusion-wave equation fractional derivative ill-posed problem Tikhonov regularization method non-linear differential equation cubic B-spline central finite difference approximations absolute errors second order differential equations mild solution non-instantaneous impulses Kuratowski measure of noncompactness Darbo fixed point multi-stage method multi-step method Runge–Kutta method backward difference formula stiff system numerical solutions Riemann-Liouville fractional integral Caputo fractional derivative fractional Taylor vector kerosene oil-based fluid stagnation point carbon nanotubes variable thicker surface thermal radiation differential equations symmetric identities degenerate Hermite polynomials complex zeros oscillation third order mixed neutral differential equations powers of stochastic Gompertz diffusion models powers of stochastic lognormal diffusion models estimation in diffusion process stationary distribution and ergodicity trend function application to simulated data n-th order linear differential equation two-point boundary value problem Green function linear differential equation exponential stability linear output feedback stabilization uncertain system nonlocal effects linear control system Hilbert space state feedback control exact controllability upper Bohl exponent thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | dynamic equations time scales classification existence necessary and sufficient conditions fractional calculus triangular fuzzy number double-parametric form FRDTM fractional dynamical model of marriage approximate controllability degenerate evolution equation fractional Caputo derivative sectorial operator fractional symmetric Hahn integral fractional symmetric Hahn difference operator Arrhenius activation energy rotating disk Darcy–Forchheimer flow binary chemical reaction nanoparticles numerical solution fractional differential equations two-dimensional wavelets finite differences fractional diffusion-wave equation fractional derivative ill-posed problem Tikhonov regularization method non-linear differential equation cubic B-spline central finite difference approximations absolute errors second order differential equations mild solution non-instantaneous impulses Kuratowski measure of noncompactness Darbo fixed point multi-stage method multi-step method Runge–Kutta method backward difference formula stiff system numerical solutions Riemann-Liouville fractional integral Caputo fractional derivative fractional Taylor vector kerosene oil-based fluid stagnation point carbon nanotubes variable thicker surface thermal radiation differential equations symmetric identities degenerate Hermite polynomials complex zeros oscillation third order mixed neutral differential equations powers of stochastic Gompertz diffusion models powers of stochastic lognormal diffusion models estimation in diffusion process stationary distribution and ergodicity trend function application to simulated data n-th order linear differential equation two-point boundary value problem Green function linear differential equation exponential stability linear output feedback stabilization uncertain system nonlocal effects linear control system Hilbert space state feedback control exact controllability upper Bohl exponent thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039368709_687 |