Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations

Mohsen Rabbani, Anupam Das, Bipan Hazarika and Reza Arab

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: The purpose of this article is to introduce a new tempered sequence space and obtain the measure of noncompactness in this space. Using the measure of noncompactness and generalized Darbo fixed point theorem, we discuss the existence of solutions of an infinite system of fractional differential equations. Also we provide an example to highlight and establish the importance of our main result. Finally, we approach the solution of the example with high accuracy, by a convergent iterative algorithm with the help of modified homotopy perturbation method.

Keywords: Measure of noncompactness; Tempered space; Fractional differential equations; Darbo fixed point theorem; Iterative algorithm; Modified homotopy perturbation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306172

DOI: 10.1016/j.chaos.2020.110221

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