Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences

K. Rajendra Prasad; Mahammad Khuddush; D. Leela

doi:10.32513/tbilisi/1608606058

Abstract

In this paper we investigate the existence of solutions for infinite systems of regular fractional Sturm-Liouville problems by an application of Meir-Keeler fixed point theorem in the tempered sequence spaces. We provide examples to check validity of our obtained results.

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K. Rajendra Prasad. Mahammad Khuddush. D. Leela. "Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences." Tbilisi Math. J. 13 (4) 193 - 209, December 2020. https://doi.org/10.32513/tbilisi/1608606058

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Received: 28 April 2020; Accepted: 25 October 2020; Published: December 2020

First available in Project Euclid: 22 December 2020

MathSciNet: MR4194237

Digital Object Identifier: 10.32513/tbilisi/1608606058

Subjects:

Primary: 34A08

Secondary: 34K10 , 46B45 , 47H10

Keywords: ‎Hausdorff measure of noncompactness , Infinite system , Meir-Keeler fixed point theorem , regular fractional Sturm-Liouville problem

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