Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions

DOI10.1186/s13662-021-03218-xzbMath1487.34148OpenAlexW3165319864WikidataQ115241282 ScholiaQ115241282MaRDI QIDQ2138876

Bahaa Al-Sheikh, Arshad Ali, Ibrahim Mahariq, Kamal Shah, Thabet Abdeljawad

Publication date: 12 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03218-x

zbMATH Keywords

Hyers-Ulam stabilityinitial value problemimpulsive conditionpantograph differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Functional-differential equations with fractional derivatives (34K37)

Related Items (8)

INVESTIGATION OF INTEGRAL BOUNDARY VALUE PROBLEM WITH IMPULSIVE BEHAVIOR INVOLVING NON-SINGULAR DERIVATIVE ⋮ Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives ⋮ A Sequential Fractional Differential Problem of Pantograph Type: Existence,Uniqueness and Illustrations ⋮ An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator ⋮ On implicit impulsive conformable fractional differential equations with infinite delay in \(b\)-metric spaces ⋮ Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum ⋮ Existence results for nonlinear neutral generalized Caputo fractional differential equations ⋮ Gegenbauer wavelet solutions of fractional integro-differential equations

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