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

• Muneshwar, Raju ^[1] ; Bondar, K. L. ; Shirole, Y. H.
  1. [1] Nanded Education Society's Science College.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 5, 2021, págs. 1179-1195
• Idioma: inglés
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• Resumen

  • 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.