Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations

Document Type : Original Article

Authors

1 Department of PG Studies and Research in Mathematics,Shrikrishna Mahavidyalaya,Gunjoti, Dist.Dharashiv, Maharashtra, 413606, India.

2 Department of Mathematics, Shankarrao Patil Mahavidyalaya, Bhoom, Dharashiv, 413504, Maharashtra, India.

Abstract
This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform. By leveraging the double ARA-Sumudu transform, a decomposition method is constructed using the definition of the Caputo fractional derivative. Surface graphs of solutions are provided for visualization purposes.

Keywords

Subjects


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Volume 6, Issue 2
Spring 2025
Pages 102-111

  • Receive Date 25 February 2025
  • Revise Date 30 March 2025
  • Accept Date 24 April 2025