When do fractional differential equations have solutions that are bounded by the Mittag-Leffler function?

DOI10.1515/FCA-2015-0039zbMath1316.34010OpenAlexW2565733535MaRDI QIDQ2346213

Christopher C. Tisdell

Publication date: 1 June 2015

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

Full work available at URL: https://doi.org/10.1515/fca-2015-0039

zbMATH Keywords

existence of solutionsinitial value problemuniqueness of solutionsfractional differential equationsfixed-point theoryMittag-Leffler bounded solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of operator theory to differential and integral equations (47N20) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items (5)

Maximal solutions to fractional differential equations ⋮ Improved mathematical results and simplified pedagogical approaches for Gronwall's inequality for fractional calculus ⋮ On the existence and uniqueness of solutions for fuzzy fractional differential equations ⋮ Existence and exact controllability of fractional evolution inclusions with damping ⋮ Solutions to fractional differential equations that extend

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multi-order fractional differential equations and their numerical solution
• Integral equations and stability of feedback systems
• Analysis of fractional differential equations

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