Initial-boundary value problems for a time-fractional differential equation with involution perturbation
Direct and inverse initial-boundary value problems of a time-fractional heat equation with involution perturbation are considered using both local and nonlocal boundary conditions. Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series e...
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| Veröffentlicht in: | Mathematical modelling of natural phenomena 2019-01, Vol.14 (3), p.312 |
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| creator | Al-Salti, Nasser Kerbal, Sebti Kirane, Mokhtar |
| description | Direct and inverse initial-boundary value problems of a time-fractional heat equation with involution perturbation are considered using both local and nonlocal boundary conditions. Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series expansions using appropriate orthogonal basis obtained by separation of variables. Convergence of series solutions are obtained by imposing certain conditions on the given data. Uniqueness of the obtained solutions are also discussed. The obtained general solutions are illustrated by an example using an appropriate choice of the given data. |
| doi_str_mv | 10.1051/mmnp/2019014 |
| format | Article |
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Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series expansions using appropriate orthogonal basis obtained by separation of variables. Convergence of series solutions are obtained by imposing certain conditions on the given data. Uniqueness of the obtained solutions are also discussed. 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The obtained general solutions are illustrated by an example using an appropriate choice of the given data.</description><subject>34A08</subject><subject>35R30</subject><subject>39B52</subject><subject>Boundary conditions</subject><subject>Boundary value problems</subject><subject>Differential equations</subject><subject>Initial-boundary value problems</subject><subject>involution perturbation</subject><subject>Perturbation</subject><subject>Thermodynamics</subject><subject>time-fractional differential equation</subject><issn>0973-5348</issn><issn>1760-6101</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kMlKBDEQQIMoOKg3PyDg1daqLJ3uo4obCO54DEkmwWgvY9Lt8vf2OOLRXIpUvSqqHiG7CAcIEg_btlscMsAaUKyRGaoSihIB18kMasULyUW1SXZyfoHpcRQcYEaeL7s4RNMUth-7uUlf9N00o6eL1NvGt5mGPlFDh9j6IiTjhth3pqHzGIJPvlu2Uv82mmWefsThmcbuvW_Gn__Cp2FM9qe4TTaCabLf-Y1b5PHs9OHkori6Pr88OboqHGf1UHgh0VlAyZS1QRgfjJVQS69qFOhkcB4MNzVzwINVyK21gom5dBUGBY5vkb3V3OmCt9HnQb_0Y5p2zpqxirOKIYj_qVIJYErBRO2vKJf6nJMPepFiO0nSCHopXS-l61_pE16s8JgH__nHmvSqS8WV1BU8aX5_q27uoNTH_BuTiIWS</recordid><startdate>20190101</startdate><enddate>20190101</enddate><creator>Al-Salti, Nasser</creator><creator>Kerbal, Sebti</creator><creator>Kirane, Mokhtar</creator><general>EDP Sciences</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QF</scope><scope>7QO</scope><scope>7QQ</scope><scope>7SC</scope><scope>7SE</scope><scope>7SP</scope><scope>7SR</scope><scope>7TA</scope><scope>7TB</scope><scope>7TK</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>H8G</scope><scope>JG9</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>P64</scope></search><sort><creationdate>20190101</creationdate><title>Initial-boundary value problems for a time-fractional differential equation with involution perturbation</title><author>Al-Salti, Nasser ; 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Results on existence of formal solutions to these problems are presented. Solutions are expressed in a form of series expansions using appropriate orthogonal basis obtained by separation of variables. Convergence of series solutions are obtained by imposing certain conditions on the given data. Uniqueness of the obtained solutions are also discussed. The obtained general solutions are illustrated by an example using an appropriate choice of the given data.</abstract><cop>Les Ulis</cop><pub>EDP Sciences</pub><doi>10.1051/mmnp/2019014</doi></addata></record> |
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| ispartof | Mathematical modelling of natural phenomena, 2019-01, Vol.14 (3), p.312 |
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| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | 34A08 35R30 39B52 Boundary conditions Boundary value problems Differential equations Initial-boundary value problems involution perturbation Perturbation Thermodynamics time-fractional differential equation |
| title | Initial-boundary value problems for a time-fractional differential equation with involution perturbation |
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