The continuation of solutions to systems of Caputo fractional order differential equations

DOI10.1515/FCA-2020-0029zbMath1451.34016OpenAlexW3032786119MaRDI QIDQ2197315

Cong Wu, Xinzhi Liu

Publication date: 31 August 2020

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

Full work available at URL: https://doi.org/10.1515/fca-2020-0029

zbMATH Keywords

existenceuniquenessSchauder's fixed point theoremcontinuation of solutionssystems of Caputo fractional order differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (5)

The continuous dependence of global solutions to Caputo fractional order systems ⋮ Bifurcation from an Epidemic Model in the Presence of Memory Effects ⋮ A GENERAL COMPARISON PRINCIPLE FOR CAPUTO FRACTIONAL-ORDER ORDINARY DIFFERENTIAL EQUATIONS ⋮ The positivity of solutions to Caputo fractional-order SEIR models ⋮ ADVANCES IN ANALYSIS OF CAPUTO FRACTIONAL-ORDER NONAUTONOMOUS SYSTEMS: FROM STABILITY TO GLOBAL UNIFORM ASYMPTOTIC STABILITY

Cites Work

• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• On the global existence of solutions to a class of fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
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