A note on the well-posedness of terminal value problems for fractional differential equations

DOI10.1216/JIE-2018-30-3-371zbMath1406.34009OpenAlexW2734935949WikidataQ128908900 ScholiaQ128908900MaRDI QIDQ1624189

Kai Diethelm, Neville J. Ford

Publication date: 15 November 2018

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1541668118

zbMATH Keywords

well-posednessexistence of solutionsuniqueness of solutionsVolterra integral equationfractional differential equationterminal value problemseparation of solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (10)

Terminal value problems for the nonlinear systems of fractional differential equations ⋮ On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives ⋮ A new approach to shooting methods for terminal value problems of fractional differential equations ⋮ Terminal value problems of non-homogeneous fractional linear systems with general memory kernels ⋮ A QSC method for fractional subdiffusion equations with fractional boundary conditions and its application in parameters identification ⋮ Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions ⋮ Backward problems in time for fractional diffusion-wave equation ⋮ A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions ⋮ An active set algorithm for robust combinatorial optimization based on separation oracles ⋮ Upper and lower estimates for the separation of solutions to fractional differential equations

Cites Work

• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Generation of nonlocal fractional dynamical systems by fractional differential equations
• The numerical solution of linear multi-term fractional differential equations: Systems of equations
• Multi-order fractional differential equations and their numerical solution
• Volterra integral equations and fractional calculus: do neighboring solutions intersect?
• Analysis of fractional differential equations

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