Solution of linear and non-linear partial differential equation of fractional order

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-4396

Keywords:

α-fractional derivative and integral, Fractional linear and nonlinear 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.

Author Biographies

Raju Muneshwar, Nanded Education Society's Science College.

Dept. of Mathematics

K. L. Bondar, Government Vidarbha Institute of Science and Humanities.

Dept. of Mathematics

Y. H. Shirole, Nanded Education Society's Science College.

Dept. of Mathematics

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Published

2021-06-16

How to Cite

[1]
R. Muneshwar, K. L. . Bondar, and Y. H. . Shirole, “Solution of linear and non-linear partial differential equation of fractional order”, Proyecciones (Antofagasta, On line), vol. 40, no. 5, pp. 1179-1195, Jun. 2021.

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Artículos