Special Topics in Differential Equations with Applications
In science and engineering, differential equations play an important role in all models and systems. This topic is very special due to the variety of classes for differential equations, and the fact that each class is essential while studying applied sciences and engineering. The main aim of this Sp...
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| Aineistotyyppi: | Online |
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| Kieli: | englanti |
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MDPI - Multidisciplinary Digital Publishing Institute
2024
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| Linkit: | ONIX_20240906_9783725816484_142 |
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| _version_ | 1869530587321073664 |
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| collection | Directory of Open Access Books |
| description | In science and engineering, differential equations play an important role in all models and systems. This topic is very special due to the variety of classes for differential equations, and the fact that each class is essential while studying applied sciences and engineering. The main aim of this Special Issue is to create a collection of state-of-the-art research studies on Special Issues in differential equations with applications in science and engineering to provide researchers with the most recent advances in these topics, which are very important in modeling various scientific phenomena. This Special Issue, entitled “Special Topics in Differential Equations with Applications", has published important research articles in the field of differential equations, authored by several well-known mathematicians and scientists from diverse countries worldwide, such as the USA, Ireland, Italy, France, Slovakia, Greece, Austria, Romania, Bulgaria, Malaysia, Türkiye, Tunisia, Pakistan, India, China, Jordan, Sudan, Morocco, Egypt, Algeria, China, Russia, and Saudi Arabia. |
| format | Online |
| id | doab-20.500.12854ir-143780 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1437802024-09-06T08:24:32Z Special Topics in Differential Equations with Applications Günerhan, Hatıra González, Francisco Martínez Kaabar, Mohammed K. A. hypergeometric equation Koopman operators EDMD MRLW equation soliton solutions sinc-collocation method Adomian decomposition method semilinear hyperbolic systems stability analysis quasi-monotonicity viscoanelastic media derivative fractional state variables reologic coefficients internal friction differential evolution Lax pairs complexification of the Korteweg–de Vries equation Korteweg–de Vries hierarchies integrable partial differential equations perturbations of the Korteweg–de Vries equation stability by noise exact solutions ℱ-expansion method beta-derivative stochastic BBM iterative class elliptic equations exterior domain radial solutions Banach space complete metric space fixed-point theorem BAM neural networks Mittag-Leffler-type stability fractional differential equations generalized proportional Riemann–Liouville fractional derivative Hirota bilinear equation Cole-Hopf transform multi-wave complexiton solution multi-wave solution periodic lump solution sub-equation method BBM-Burger equation modified auxiliary equation method (MAEM) Ricatti–Bernoulli (RB) sub-ODE method β-derivative M-truncated derivative (M-TD) conformable derivative (CD) two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions Riemann–Liouville fractional derivative distributed delay fundamental matrix stability generalized conformable derivative Darboux problem Ulam–Hyers–Rassias stability Hilfer fractional derivatives fractional diffusion systems regional enlarged observability Hilbert uniqueness method neutral differential equation asymptotic properties odd-order several delays natural transform fractional-order linear and nonlinear approximate solution inverse natural transform oscillatory non-oscillatory fourth-order nonoscillatory delay differential equation third-order canonical fractional Orlicz–Sobolev spaces fractional Φ-Laplacian critical point ground state thema EDItEUR::U Computing and Information Technology::UY Computer science In science and engineering, differential equations play an important role in all models and systems. This topic is very special due to the variety of classes for differential equations, and the fact that each class is essential while studying applied sciences and engineering. The main aim of this Special Issue is to create a collection of state-of-the-art research studies on Special Issues in differential equations with applications in science and engineering to provide researchers with the most recent advances in these topics, which are very important in modeling various scientific phenomena. This Special Issue, entitled “Special Topics in Differential Equations with Applications", has published important research articles in the field of differential equations, authored by several well-known mathematicians and scientists from diverse countries worldwide, such as the USA, Ireland, Italy, France, Slovakia, Greece, Austria, Romania, Bulgaria, Malaysia, Türkiye, Tunisia, Pakistan, India, China, Jordan, Sudan, Morocco, Egypt, Algeria, China, Russia, and Saudi Arabia. 2024-09-06T08:24:21Z 2024-09-06T08:24:21Z 2024 book ONIX_20240906_9783725816484_142 9783725816484 9783725816477 https://directory.doabooks.org/handle/20.500.12854/143780 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9517 https://mdpi.com/books/pdfview/book/9517 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1647-7 10.3390/books978-3-7258-1647-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725816484 9783725816477 open access |
| spellingShingle | hypergeometric equation Koopman operators EDMD MRLW equation soliton solutions sinc-collocation method Adomian decomposition method semilinear hyperbolic systems stability analysis quasi-monotonicity viscoanelastic media derivative fractional state variables reologic coefficients internal friction differential evolution Lax pairs complexification of the Korteweg–de Vries equation Korteweg–de Vries hierarchies integrable partial differential equations perturbations of the Korteweg–de Vries equation stability by noise exact solutions ℱ-expansion method beta-derivative stochastic BBM iterative class elliptic equations exterior domain radial solutions Banach space complete metric space fixed-point theorem BAM neural networks Mittag-Leffler-type stability fractional differential equations generalized proportional Riemann–Liouville fractional derivative Hirota bilinear equation Cole-Hopf transform multi-wave complexiton solution multi-wave solution periodic lump solution sub-equation method BBM-Burger equation modified auxiliary equation method (MAEM) Ricatti–Bernoulli (RB) sub-ODE method β-derivative M-truncated derivative (M-TD) conformable derivative (CD) two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions Riemann–Liouville fractional derivative distributed delay fundamental matrix stability generalized conformable derivative Darboux problem Ulam–Hyers–Rassias stability Hilfer fractional derivatives fractional diffusion systems regional enlarged observability Hilbert uniqueness method neutral differential equation asymptotic properties odd-order several delays natural transform fractional-order linear and nonlinear approximate solution inverse natural transform oscillatory non-oscillatory fourth-order nonoscillatory delay differential equation third-order canonical fractional Orlicz–Sobolev spaces fractional Φ-Laplacian critical point ground state thema EDItEUR::U Computing and Information Technology::UY Computer science Special Topics in Differential Equations with Applications |
| title | Special Topics in Differential Equations with Applications |
| title_full | Special Topics in Differential Equations with Applications |
| title_fullStr | Special Topics in Differential Equations with Applications |
| title_full_unstemmed | Special Topics in Differential Equations with Applications |
| title_short | Special Topics in Differential Equations with Applications |
| title_sort | special topics in differential equations with applications |
| topic | hypergeometric equation Koopman operators EDMD MRLW equation soliton solutions sinc-collocation method Adomian decomposition method semilinear hyperbolic systems stability analysis quasi-monotonicity viscoanelastic media derivative fractional state variables reologic coefficients internal friction differential evolution Lax pairs complexification of the Korteweg–de Vries equation Korteweg–de Vries hierarchies integrable partial differential equations perturbations of the Korteweg–de Vries equation stability by noise exact solutions ℱ-expansion method beta-derivative stochastic BBM iterative class elliptic equations exterior domain radial solutions Banach space complete metric space fixed-point theorem BAM neural networks Mittag-Leffler-type stability fractional differential equations generalized proportional Riemann–Liouville fractional derivative Hirota bilinear equation Cole-Hopf transform multi-wave complexiton solution multi-wave solution periodic lump solution sub-equation method BBM-Burger equation modified auxiliary equation method (MAEM) Ricatti–Bernoulli (RB) sub-ODE method β-derivative M-truncated derivative (M-TD) conformable derivative (CD) two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions Riemann–Liouville fractional derivative distributed delay fundamental matrix stability generalized conformable derivative Darboux problem Ulam–Hyers–Rassias stability Hilfer fractional derivatives fractional diffusion systems regional enlarged observability Hilbert uniqueness method neutral differential equation asymptotic properties odd-order several delays natural transform fractional-order linear and nonlinear approximate solution inverse natural transform oscillatory non-oscillatory fourth-order nonoscillatory delay differential equation third-order canonical fractional Orlicz–Sobolev spaces fractional Φ-Laplacian critical point ground state thema EDItEUR::U Computing and Information Technology::UY Computer science |
| topic_facet | hypergeometric equation Koopman operators EDMD MRLW equation soliton solutions sinc-collocation method Adomian decomposition method semilinear hyperbolic systems stability analysis quasi-monotonicity viscoanelastic media derivative fractional state variables reologic coefficients internal friction differential evolution Lax pairs complexification of the Korteweg–de Vries equation Korteweg–de Vries hierarchies integrable partial differential equations perturbations of the Korteweg–de Vries equation stability by noise exact solutions ℱ-expansion method beta-derivative stochastic BBM iterative class elliptic equations exterior domain radial solutions Banach space complete metric space fixed-point theorem BAM neural networks Mittag-Leffler-type stability fractional differential equations generalized proportional Riemann–Liouville fractional derivative Hirota bilinear equation Cole-Hopf transform multi-wave complexiton solution multi-wave solution periodic lump solution sub-equation method BBM-Burger equation modified auxiliary equation method (MAEM) Ricatti–Bernoulli (RB) sub-ODE method β-derivative M-truncated derivative (M-TD) conformable derivative (CD) two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions Riemann–Liouville fractional derivative distributed delay fundamental matrix stability generalized conformable derivative Darboux problem Ulam–Hyers–Rassias stability Hilfer fractional derivatives fractional diffusion systems regional enlarged observability Hilbert uniqueness method neutral differential equation asymptotic properties odd-order several delays natural transform fractional-order linear and nonlinear approximate solution inverse natural transform oscillatory non-oscillatory fourth-order nonoscillatory delay differential equation third-order canonical fractional Orlicz–Sobolev spaces fractional Φ-Laplacian critical point ground state thema EDItEUR::U Computing and Information Technology::UY Computer science |
| url | ONIX_20240906_9783725816484_142 |