Title of article
Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method
Author/Authors
Das ، Anupam Department of Mathematics - Cotton University , Rabbani ، Mohsen Department of Mathematics - Islamic Azad University, Sari Branch , HAZARIKA ، BIPAN Department of Mathematics - Gauhati University , Mohiuddine ، S. A. Department of Mathematics, Operator Theory and Applications Research Group - Faculty of Science - King Abdulaziz University
From page
233
To page
246
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 nth 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
Measure of noncompactness (MNC) , Meir , Keeler condensing(MKC) , ordinary differential equations (ODE) , Green’s function , Banach sequence spaces , Modified homotopy perturbation
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2773426
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