Stability Analysis of nth Order Nonlinear Impulsive Differential Equations in Quasi–Banach Space. (17th February 2020)

• Record Type: Journal Article
• Authors: Zada, Akbar; Mashal, Asia
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 3(2020)
• Page Start: 294
• Page End: 321
• Publication Date: 2020-02-17
• Subjects: Fractional integral -- generalized Ulam–Hyers–Rassias stability -- Hölder's integral inequality -- p-Hölder's condition -- Picard operator -- quasi–normed Banach space; 34K20 -- 35B35 -- 39A30 -- 34A37; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1628049
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This article is about Ulam's type stability of n th order nonlinear differential equations with fractional integrable impulses. It is a best procession to the stability of higher order fractional integrable impulsive differential equations in quasi–normed Banach space. Different Ulam's type stability results are obtained by using the definitions of Riemann–Liouville fractional integral, Hölder's inequality and the beta integral inequality.