International Journal of Nonlinear Analysis and Applications

A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order

Document Type : Research Paper

Authors

1 Department of Mathematics, National Institute of Technology Silchar, Assam, India

2 Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India

Abstract

In this article, Ulam Hyers stability of Volterra Fredholm (VF) type fractional integro-differential equation is studied by the fixed point notion in the generalized metric space. In addition, the efficiency of the Laplace decomposition method in the context of solving some integral equations of the Volterra Fredholm type is shown. Further convergence analysis of the numerical scheme is shown.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Special Issue for selected papers of ICDACT-2021
The link to the conference website is https://vitbhopal.ac.in/event/icdact_dec_21/
March 2022
Pages 133-145
  • Receive Date: 15 August 2021
  • Revise Date: 22 December 2021
  • Accept Date: 15 January 2022