An extension of the well-posedness concept for fractional differential equations of Caputo’s type

DOI10.1080/00036811.2013.872776zbMath1307.34008arXiv1309.4245OpenAlexW2013977983WikidataQ59411659 ScholiaQ59411659MaRDI QIDQ3191908

Kai Diethelm

Publication date: 25 September 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4245

zbMATH Keywords

well-posed problemterminal valueCaputo derivativefractional differential equationcontinuous dependenceinitial valuestarting point

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (7)

COMPUTATIONAL MODEL OF A FRACTIONAL-ORDER CHEMICAL REACTOR SYSTEM AND ITS CONTROL USING ADAPTIVE SLIDING MODE CONTROL ⋮ Increasing the efficiency of shooting methods for terminal value problems of fractional order ⋮ Matlab Code for Lyapunov Exponents of Fractional-Order Systems ⋮ A note on terminal value problems for fractional differential equations on infinite interval ⋮ ON HADAMARD FRACTIONAL CALCULUS ⋮ Terminal value problems of non-homogeneous fractional linear systems with general memory kernels ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations

Cites Work

• On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Volterra integral equations and fractional calculus: do neighboring solutions intersect?
• Fractional Calculus, Anomalous Diffusion, and Probability

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