Fractional Differential Equations: Theory, Methods and Applications
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and...
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| বিন্যাস: | Online |
| ভাষা: | ইংরেজি |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | 42652 |
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| _version_ | 1869520744265809920 |
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| author | Nieto, Juan J. Rodríguez-López, Rosana |
| author_browse | Nieto, Juan J. Rodríguez-López, Rosana |
| author_facet | Nieto, Juan J. Rodríguez-López, Rosana |
| author_sort | Nieto, Juan J. |
| collection | Directory of Open Access Books |
| description | Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields. |
| format | Online |
| id | doab-20.500.12854ir-47975 |
| 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-479752023-12-20T18:40:39Z Fractional Differential Equations: Theory, Methods and Applications Nieto, Juan J. Rodríguez-López, Rosana QA1-939 Q1-390 fractional wave equation dependence on a parameter conformable double Laplace decomposition method Riemann—Liouville Fractional Integration Lyapunov functions Power-mean Inequality modified functional methods oscillation fractional-order neural networks initial boundary value problem fractional p-Laplacian model order reduction ?-fractional derivative Convex Functions existence and uniqueness conformable partial fractional derivative nonlinear differential system conformable Laplace transform Mittag–Leffler synchronization delays controllability and observability Gramians impulses conformable fractional derivative Moser iteration method fractional q-difference equation energy inequality b-vex functions Navier-Stokes equation fractional-order system Kirchhoff-type equations Razumikhin method Laplace Adomian Decomposition Method (LADM) fountain theorem Hermite–Hadamard’s Inequality distributed delays Caputo Operator fractional thermostat model sub-b-s-convex functions fixed point theorem on mixed monotone operators singular one dimensional coupled Burgers’ equation generalized convexity delay differential system positive solutions positive solution fixed point index Jenson Integral Inequality integral conditions bic Book Industry Communication::P Mathematics & science Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields. 2021-02-11T13:59:35Z 2021-02-11T13:59:35Z 2019-12-09 11:49:16 2019 book 42652 9783039217335 9783039217328 https://directory.doabooks.org/handle/20.500.12854/47975 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1809 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-733-5 10.3390/books978-3-03921-733-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039217335 9783039217328 172 open access |
| spellingShingle | QA1-939 Q1-390 fractional wave equation dependence on a parameter conformable double Laplace decomposition method Riemann—Liouville Fractional Integration Lyapunov functions Power-mean Inequality modified functional methods oscillation fractional-order neural networks initial boundary value problem fractional p-Laplacian model order reduction ?-fractional derivative Convex Functions existence and uniqueness conformable partial fractional derivative nonlinear differential system conformable Laplace transform Mittag–Leffler synchronization delays controllability and observability Gramians impulses conformable fractional derivative Moser iteration method fractional q-difference equation energy inequality b-vex functions Navier-Stokes equation fractional-order system Kirchhoff-type equations Razumikhin method Laplace Adomian Decomposition Method (LADM) fountain theorem Hermite–Hadamard’s Inequality distributed delays Caputo Operator fractional thermostat model sub-b-s-convex functions fixed point theorem on mixed monotone operators singular one dimensional coupled Burgers’ equation generalized convexity delay differential system positive solutions positive solution fixed point index Jenson Integral Inequality integral conditions bic Book Industry Communication::P Mathematics & science Nieto, Juan J. Rodríguez-López, Rosana Fractional Differential Equations: Theory, Methods and Applications |
| title | Fractional Differential Equations: Theory, Methods and Applications |
| title_full | Fractional Differential Equations: Theory, Methods and Applications |
| title_fullStr | Fractional Differential Equations: Theory, Methods and Applications |
| title_full_unstemmed | Fractional Differential Equations: Theory, Methods and Applications |
| title_short | Fractional Differential Equations: Theory, Methods and Applications |
| title_sort | fractional differential equations theory methods and applications |
| topic | QA1-939 Q1-390 fractional wave equation dependence on a parameter conformable double Laplace decomposition method Riemann—Liouville Fractional Integration Lyapunov functions Power-mean Inequality modified functional methods oscillation fractional-order neural networks initial boundary value problem fractional p-Laplacian model order reduction ?-fractional derivative Convex Functions existence and uniqueness conformable partial fractional derivative nonlinear differential system conformable Laplace transform Mittag–Leffler synchronization delays controllability and observability Gramians impulses conformable fractional derivative Moser iteration method fractional q-difference equation energy inequality b-vex functions Navier-Stokes equation fractional-order system Kirchhoff-type equations Razumikhin method Laplace Adomian Decomposition Method (LADM) fountain theorem Hermite–Hadamard’s Inequality distributed delays Caputo Operator fractional thermostat model sub-b-s-convex functions fixed point theorem on mixed monotone operators singular one dimensional coupled Burgers’ equation generalized convexity delay differential system positive solutions positive solution fixed point index Jenson Integral Inequality integral conditions bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 fractional wave equation dependence on a parameter conformable double Laplace decomposition method Riemann—Liouville Fractional Integration Lyapunov functions Power-mean Inequality modified functional methods oscillation fractional-order neural networks initial boundary value problem fractional p-Laplacian model order reduction ?-fractional derivative Convex Functions existence and uniqueness conformable partial fractional derivative nonlinear differential system conformable Laplace transform Mittag–Leffler synchronization delays controllability and observability Gramians impulses conformable fractional derivative Moser iteration method fractional q-difference equation energy inequality b-vex functions Navier-Stokes equation fractional-order system Kirchhoff-type equations Razumikhin method Laplace Adomian Decomposition Method (LADM) fountain theorem Hermite–Hadamard’s Inequality distributed delays Caputo Operator fractional thermostat model sub-b-s-convex functions fixed point theorem on mixed monotone operators singular one dimensional coupled Burgers’ equation generalized convexity delay differential system positive solutions positive solution fixed point index Jenson Integral Inequality integral conditions bic Book Industry Communication::P Mathematics & science |
| url | 42652 |
| work_keys_str_mv | AT nietojuanj fractionaldifferentialequationstheorymethodsandapplications AT rodriguezlopezrosana fractionaldifferentialequationstheorymethodsandapplications |