International Journal of Nonlinear Analysis and Applications

Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method

Document Type : Research Paper

Authors

1 Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India

2 Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran

3 Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India

4 Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

In this article, a new fixed point theory and generalized condensing operator have been established to prove the existence of solutions for an infinite system of differential equations of $n^{th}$ order. Also, some interesting examples are employed to support the findings. To validate our discussion the solutions of the examples are approximated by an iterative algorithm with high accuracy. The algorithm is convergent and constructed based on the modified homotopy perturbation method.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 2
February 2023
Pages 233-246
  • Receive Date: 14 April 2022
  • Accept Date: 19 July 2022