Solvability of initial value problems with fractional order differential equations in Banach spaces by \(\alpha\)-dense curves

DOI10.1515/fca-2017-0034zbMath1439.34011OpenAlexW2733316443MaRDI QIDQ2360545

Gonzalo A. García

Publication date: 4 July 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2017-0034

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

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Cites Work

• Abstract Cauchy problem for fractional differential equations
• Densifiable metric spaces
• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• Existence of periodic solution for a nonlinear fractional differential equation
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Space-filling curves
• Characterization and generation of \(\alpha\)-dense curves
• Measures of noncompactness in metric fixed point theory
• Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
• Short memory principle and a predictor-corrector approach for fractional differential equations
• Some generalizations of Darbo fixed point theorem and applications
• Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces
• On nonlocal problems for fractional differential equations in Banach spaces
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Semilinear fractional order integro-differential equations with infinite delay in Banach spaces
• Fractional integro-differential inclusions with state-dependent delay
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