Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique

Bouazza, Z and Souid, M. S. and Che Haziqah Che Hussin and Arif Mandangan and Sabit, S. (2023) Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique. Malaysian Journal of Mathematical Sciences, 17. pp. 305-332. ISSN 1823-8343

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Abstract

In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) with the help of piece-wise constant functions. In addition, the derived fundamental results are proven suitable because they satisfy the Ulam-Hyers Rassias stability sufficient conditions. Several numerical examples were discussed too to demonstrate the reasonableness and effectiveness of the observed results.

Item Type:	Article
Keyword:	Kuratowski MNC, Riemann-Liouville, Mathematical
Subjects:	Q Science > Q Science (General) > Q1-390 Science (General) Q Science > QA Mathematics > QA1-939 Mathematics > QA1-43 General
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	SITI AZIZAH BINTI IDRIS -
Date Deposited:	26 Jan 2024 15:13
Last Modified:	26 Jan 2024 15:13
URI:	https://eprints.ums.edu.my/id/eprint/38004

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