Recent Investigations of Differential and Fractional Equations and Inclusions
During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In c...
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| Format: | Online |
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| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Online Access: | ONIX_20210501_9783036500744_141 |
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| description | During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of “Recent Investigations of Differential and Fractional Equations and Inclusions”. It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations. |
| format | Online |
| id | doab-20.500.12854ir-68395 |
| 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-683952024-03-28T03:32:18Z Recent Investigations of Differential and Fractional Equations and Inclusions Hristova, Snezhana weakly upper semicontinuous essential maps homotopy Riemann-Liouville fractional differential equation delay lower and upper solutions monotone-iterative technique homoclinic solutions fourth-order p-Laplacian differential equations minimization theorem Clark’s theorem exponential dichotomy roughness asymptotically constant matrices double fuzzy Sumudu transform partial Volterra fuzzy integro-differential equations n-th order fuzzy partial H-derivative m-dissipative operators limit solutions integral solutions one-sided Perron condition Banach spaces fixed point complete metric space fractional differential equations optimal feedback control Voigt model alpha-model fractional derivative Riemann–Liouville fractional differential equations nonlocal boundary conditions positive solutions existence multiplicity Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions fixed point theorem fractional Navier–Stokes equations variable delay modified fractional Halanay inequality generalized comparison principle dissipativity Fourier-Laplace transforms porous material eigenvalues method fractional time derivative thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of “Recent Investigations of Differential and Fractional Equations and Inclusions”. It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations. 2021-05-01T15:08:50Z 2021-05-01T15:08:50Z 2021 book ONIX_20210501_9783036500744_141 9783036500744 9783036500751 https://directory.doabooks.org/handle/20.500.12854/68395 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3410 https://mdpi.com/books/pdfview/book/3410 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0075-1 10.3390/books978-3-0365-0075-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036500744 9783036500751 190 Basel, Switzerland open access |
| spellingShingle | weakly upper semicontinuous essential maps homotopy Riemann-Liouville fractional differential equation delay lower and upper solutions monotone-iterative technique homoclinic solutions fourth-order p-Laplacian differential equations minimization theorem Clark’s theorem exponential dichotomy roughness asymptotically constant matrices double fuzzy Sumudu transform partial Volterra fuzzy integro-differential equations n-th order fuzzy partial H-derivative m-dissipative operators limit solutions integral solutions one-sided Perron condition Banach spaces fixed point complete metric space fractional differential equations optimal feedback control Voigt model alpha-model fractional derivative Riemann–Liouville fractional differential equations nonlocal boundary conditions positive solutions existence multiplicity Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions fixed point theorem fractional Navier–Stokes equations variable delay modified fractional Halanay inequality generalized comparison principle dissipativity Fourier-Laplace transforms porous material eigenvalues method fractional time derivative thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Recent Investigations of Differential and Fractional Equations and Inclusions |
| title | Recent Investigations of Differential and Fractional Equations and Inclusions |
| title_full | Recent Investigations of Differential and Fractional Equations and Inclusions |
| title_fullStr | Recent Investigations of Differential and Fractional Equations and Inclusions |
| title_full_unstemmed | Recent Investigations of Differential and Fractional Equations and Inclusions |
| title_short | Recent Investigations of Differential and Fractional Equations and Inclusions |
| title_sort | recent investigations of differential and fractional equations and inclusions |
| topic | weakly upper semicontinuous essential maps homotopy Riemann-Liouville fractional differential equation delay lower and upper solutions monotone-iterative technique homoclinic solutions fourth-order p-Laplacian differential equations minimization theorem Clark’s theorem exponential dichotomy roughness asymptotically constant matrices double fuzzy Sumudu transform partial Volterra fuzzy integro-differential equations n-th order fuzzy partial H-derivative m-dissipative operators limit solutions integral solutions one-sided Perron condition Banach spaces fixed point complete metric space fractional differential equations optimal feedback control Voigt model alpha-model fractional derivative Riemann–Liouville fractional differential equations nonlocal boundary conditions positive solutions existence multiplicity Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions fixed point theorem fractional Navier–Stokes equations variable delay modified fractional Halanay inequality generalized comparison principle dissipativity Fourier-Laplace transforms porous material eigenvalues method fractional time derivative thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | weakly upper semicontinuous essential maps homotopy Riemann-Liouville fractional differential equation delay lower and upper solutions monotone-iterative technique homoclinic solutions fourth-order p-Laplacian differential equations minimization theorem Clark’s theorem exponential dichotomy roughness asymptotically constant matrices double fuzzy Sumudu transform partial Volterra fuzzy integro-differential equations n-th order fuzzy partial H-derivative m-dissipative operators limit solutions integral solutions one-sided Perron condition Banach spaces fixed point complete metric space fractional differential equations optimal feedback control Voigt model alpha-model fractional derivative Riemann–Liouville fractional differential equations nonlocal boundary conditions positive solutions existence multiplicity Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions fixed point theorem fractional Navier–Stokes equations variable delay modified fractional Halanay inequality generalized comparison principle dissipativity Fourier-Laplace transforms porous material eigenvalues method fractional time derivative thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783036500744_141 |