The fixed point approach to the stability of fractional differential equations with causal operators

DOI10.1007/s12346-015-0136-1zbMath1343.34016OpenAlexW2062129490MaRDI QIDQ290279

Huatao Chen, Dengqing Cao, Jingfei Jiang

Publication date: 1 June 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0136-1

zbMATH Keywords

Hyers-Ulam-Rassias stabilityHyers-Ulam stabilityfixed point theoremfractional differential equationcausal operator

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Abstract integral equations, integral equations in abstract spaces (45N05) Fractional ordinary differential equations (34A08)

Related Items (8)

Ulam's type stability analysis of fractional difference equation with impulse: Gronwall inequality approach ⋮ Existence and Ulam-Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator ⋮ Rapid convergence of solution for hybrid system with causal operators ⋮ Boundary value problems for fractional differential equation with causal operators ⋮ Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas ⋮ Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions ⋮ Laplace transform method for the Ulam stability of linear fractional differential equations with constant coefficients ⋮ The particular solution and Ulam stability of linear Riemann-Liouville fractional dynamic equations on isolated time scales

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