Existence and uniqueness of solution for fractional differential equation with causal operators in Banach spaces

DOI10.1007/S00009-014-0435-9zbMath1325.34010OpenAlexW1973487365WikidataQ115390397 ScholiaQ115390397MaRDI QIDQ493306

Jingfei Jiang, Huatao Chen, Dengqing Cao, Chengfu Li

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0435-9

zbMATH Keywords

Cauchy problemexistence and uniquenessapproximate methodfractional differential equationcausal operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Fractional ordinary differential equations (34A08)

Related Items (7)

The fixed point approach to the stability of fractional differential equations with causal operators ⋮ Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences ⋮ Boundary value problems for fractional differential equation with causal operators ⋮ Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions ⋮ A Class of Nonlocal Fractional Evolution Equations and Optimal Controls ⋮ Distributed parameter control strategies for the wave equation with fractional order derivative ⋮ Linear and Nonlinear Fractional Voigt Models

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