March 2022 Existence of solutions for $n$-dimensional fractional order bvp with $\infty$–point boundary conditions via the concept of measure of noncompactness
D. William John Victor, Mahammad Khuddush
Adv. Studies: Euro-Tbilisi Math. J. 15(1): 19-37 (March 2022). DOI: 10.32513/asetmj/19322008202

Abstract

In this paper, using the concept of measure of noncompactness we present some results on the existence of $n$-fixed points for a class of operators. Also as an application, we derive the sufficient conditions for the existence of solutions for $n$-dimensional fractional order functional boundary value problems.

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The current pdf replaces the original pdf file, first available on 5 April 2022. The new version corrects the DOI prefix to read 10.32513.

Acknowledgments

The authors would like to thank the referees for their valuable suggestions and comments for the improvement of the paper.

Citation

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D. William John Victor. Mahammad Khuddush. "Existence of solutions for $n$-dimensional fractional order bvp with $\infty$–point boundary conditions via the concept of measure of noncompactness." Adv. Studies: Euro-Tbilisi Math. J. 15 (1) 19 - 37, March 2022. https://doi.org/10.32513/asetmj/19322008202

Information

Received: 15 October 2020; Accepted: 30 October 2021; Published: March 2022
First available in Project Euclid: 5 April 2022

MathSciNet: MR4425171
zbMATH: 1487.34046
Digital Object Identifier: 10.32513/asetmj/19322008202

Subjects:
Primary: 47H10
Secondary: 18B40 , 34A08 , 34B15 , 47H09

Keywords: $n$-fixed point , Caputo fractional derivative , fixed point Theorem , Functional differential equation , measure of noncompactness

Rights: Copyright © 2022 Tbilisi Centre for Mathematical Sciences

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Vol.15 • No. 1 • March 2022
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