Stability Analysis of nth Order Nonlinear Impulsive Differential Equations in Quasi–Banach Space
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Publication:5207719
DOI10.1080/01630563.2019.1628049zbMath1432.34075OpenAlexW2951489239MaRDI QIDQ5207719
Publication date: 13 January 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2019.1628049
fractional integralPicard operatorgeneralized Ulam-Hyers-Rassias stabilityHölder's integral inequality\(p\)-Hölder's conditionquasi-normed Banach space
Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (13)
Analysis of a new class of impulsive implicit sequential fractional differential equations ⋮ Analysis of a coupled system of fractional differential equations with non-separated boundary conditions ⋮ Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with \(p\)-Laplacian ⋮ On implicit impulsive Langevin equation involving mixed order derivatives ⋮ Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions ⋮ Analysis of solutions of the integro-differential equations with generalized Liouville-Caputo fractional derivative by \(\rho\)-Laplace transform ⋮ Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives ⋮ Stability analysis of causal integral evolution impulsive systems on time scales ⋮ Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative ⋮ Analysis of \(( \alpha, \beta )\)-order coupled implicit Caputo fractional differential equations using topological degree method ⋮ Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales ⋮ Existence and stability of impulsive coupled system of fractional integrodifferential equations ⋮ The Ulam stability of non-linear Volterra integro-dynamic equations on time scales
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