Advances in Difference Equations
The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years, non-integer order derivative operators have g...
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| Format: | Online |
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| Jezik: | engleski |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Teme: | |
| Online pristup: | ONIX_20250220_9783725823598_236 |
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| _version_ | 1869521547986731008 |
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| collection | Directory of Open Access Books |
| description | The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years, non-integer order derivative operators have gained attention, particularly for understanding anomalous behaviors in social and physical sciences. The following Special Issue introduces several important developments, including new partial fractional derivatives, a novel nonlinear delayed integral inequality for studying integro-differential equations, and a neural network approach for solving nonlinear partial differential equations. The existence and uniqueness of solutions for nonlinear differential equations with impulses at variable times are discussed, as well as the oscillatory behavior of nonlinear second-order differential equations. Ultimately, this reprint bridges theory and application, offering novel insights with a focus on differential and difference equations. |
| format | Online |
| id | doab-20.500.12854ir-152872 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1528722025-02-20T13:12:27Z Advances in Difference Equations Zafar, Azhar Ali Shah, Nehad Ali difference equations fractional difference equations delay difference equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years, non-integer order derivative operators have gained attention, particularly for understanding anomalous behaviors in social and physical sciences. The following Special Issue introduces several important developments, including new partial fractional derivatives, a novel nonlinear delayed integral inequality for studying integro-differential equations, and a neural network approach for solving nonlinear partial differential equations. The existence and uniqueness of solutions for nonlinear differential equations with impulses at variable times are discussed, as well as the oscillatory behavior of nonlinear second-order differential equations. Ultimately, this reprint bridges theory and application, offering novel insights with a focus on differential and difference equations. 2025-02-20T13:12:25Z 2025-02-20T13:12:25Z 2024 book ONIX_20250220_9783725823598_236 9783725823598 9783725823604 https://directory.doabooks.org/handle/20.500.12854/152872 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/10031 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-2360-4 10.3390/books978-3-7258-2360-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725823598 9783725823604 192 Basel open access |
| spellingShingle | difference equations fractional difference equations delay difference equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Advances in Difference Equations |
| title | Advances in Difference Equations |
| title_full | Advances in Difference Equations |
| title_fullStr | Advances in Difference Equations |
| title_full_unstemmed | Advances in Difference Equations |
| title_short | Advances in Difference Equations |
| title_sort | advances in difference equations |
| topic | difference equations fractional difference equations delay difference equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | difference equations fractional difference equations delay difference equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250220_9783725823598_236 |