Bounded, asymptotically stable, and L1 solutions of Caputo fractional differential equations

DOI10.7494/OPMATH.2015.35.2.181zbMath1329.34009OpenAlexW2098588270MaRDI QIDQ3459013

Muhammad N. Islam

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2015.35.2.181

zbMATH Keywords

Volterra integral equationsweakly singular kernelSchauder fixed point theoremCaputo fractional differential equationsLiapunov's method

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (1)

The existence of consensus of a leader-following problem with Caputo fractional derivative

Cites Work

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• Resolvents and solutions of weakly singular linear Volterra integral equations
• On the existence of asymptotically stable solutions of certain integral equations
• Initial value problems in discrete fractional calculus
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Heat transfer between solids and gases under nonlinear boundary conditions

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