Computable Solution of Fractional Kinetic Equations Using Mathieu-Type Series
| dc.contributor.author | Khan, Nabiullah | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Khan, Owais | |
| dc.date.accessioned | 2019-12-26T12:21:26Z | |
| dc.date.accessioned | 2025-09-18T12:05:04Z | |
| dc.date.available | 2019-12-26T12:21:26Z | |
| dc.date.available | 2025-09-18T12:05:04Z | |
| dc.date.issued | 2019 | |
| dc.description | Khan, Owais/0000-0003-1565-4122; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | en_US |
| dc.description.abstract | The Mathieu series appeared in the study of elasticity of solid bodies in the work of Emile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. In this line, our aim is to study the solution of fractional kinetic equations involving generalized Mathieu-type series. The generality of this series will help us to deduce results related to a fractional kinetic equation involving another form of Mathieu series. To obtain the solution, we use the Laplace transform technique. Besides, a graphical representation is given to observe the behavior of the obtained solutions. | en_US |
| dc.identifier.citation | Khan, Owais...et al. (2019). "Computable solution of fractional kinetic equations using Mathieu-type series", Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2167-4 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85067351475 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2167-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10507 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Fractional Kinetic Equation | en_US |
| dc.subject | Mathieu-Type Series | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Sumudu Transform | en_US |
| dc.title | Computable Solution of Fractional Kinetic Equations Using Mathieu-Type Series | en_US |
| dc.title | Computable solution of fractional kinetic equations using Mathieu-type series | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Khan, Owais/0000-0003-1565-4122 | |
| gdc.author.id | Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khan, Owais/Y-9754-2018 | |
| gdc.author.wosid | Nisar, Prof. Kottakkaran Sooppy/F-7559-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Owais; Khan, Nabiullah] Aligarh Muslim Univ, Dept Appl Math, Aligarh, Uttar Pradesh, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawasir, Saudi Arabia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2019 | |
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| gdc.oaire.keywords | Sumudu transform | |
| gdc.oaire.keywords | Thermoelastic Damping and Heat Conduction | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Mathematical analysis | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Physics and Astronomy | |
| gdc.oaire.keywords | Generalized fractional kinetic equation | |
| gdc.oaire.keywords | Mechanics of Materials | |
| gdc.oaire.keywords | Modeling and Simulation | |
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| gdc.oaire.keywords | Mathieu-type series | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | generalized fractional kinetic equation | |
| gdc.oaire.keywords | Special integral transforms (Legendre, Hilbert, etc.) | |
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