Solution of linear and non-linear partial differential equations of fractional order
Abstract We know that the solution of partial differential equations by analytical method is better than the solution by approximate or series solution method. In this paper, we discuss the solution of linear and non-linear fractional partial differential equations involving derivatives with respect...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210005011792021-10-05Solution of linear and non-linear partial differential equations of fractional orderMuneshwar,R. A.Bondar,K. L.Shirole,Y. H. α-fractional derivative and integral Fractional linear and non-linear partial differential equation Method of separation of variables Abstract We know that the solution of partial differential equations by analytical method is better than the solution by approximate or series solution method. In this paper, we discuss the solution of linear and non-linear fractional partial differential equations involving derivatives with respect to time or space variables by converting them into the partial differential equations of integer order. Also we develop an analytical formulation to solve such fractional partial differential equations. Moreover, we discuss the method to solve the fractional partial differential equations in space as well as time variables simultaneously with the help of some examples.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.5 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501179en10.22199/issn.0717-6279-4396 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
α-fractional derivative and integral Fractional linear and non-linear partial differential equation Method of separation of variables |
| spellingShingle |
α-fractional derivative and integral Fractional linear and non-linear partial differential equation Method of separation of variables Muneshwar,R. A. Bondar,K. L. Shirole,Y. H. Solution of linear and non-linear partial differential equations of fractional order |
| description |
Abstract We know that the solution of partial differential equations by analytical method is better than the solution by approximate or series solution method. In this paper, we discuss the solution of linear and non-linear fractional partial differential equations involving derivatives with respect to time or space variables by converting them into the partial differential equations of integer order. Also we develop an analytical formulation to solve such fractional partial differential equations. Moreover, we discuss the method to solve the fractional partial differential equations in space as well as time variables simultaneously with the help of some examples. |
| author |
Muneshwar,R. A. Bondar,K. L. Shirole,Y. H. |
| author_facet |
Muneshwar,R. A. Bondar,K. L. Shirole,Y. H. |
| author_sort |
Muneshwar,R. A. |
| title |
Solution of linear and non-linear partial differential equations of fractional order |
| title_short |
Solution of linear and non-linear partial differential equations of fractional order |
| title_full |
Solution of linear and non-linear partial differential equations of fractional order |
| title_fullStr |
Solution of linear and non-linear partial differential equations of fractional order |
| title_full_unstemmed |
Solution of linear and non-linear partial differential equations of fractional order |
| title_sort |
solution of linear and non-linear partial differential equations of fractional order |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501179 |
| work_keys_str_mv |
AT muneshwarra solutionoflinearandnonlinearpartialdifferentialequationsoffractionalorder AT bondarkl solutionoflinearandnonlinearpartialdifferentialequationsoffractionalorder AT shiroleyh solutionoflinearandnonlinearpartialdifferentialequationsoffractionalorder |
| _version_ |
1718439916919062528 |