Journal of Integral Equations and Applications

On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order

Christopher C. Tisdell

Full-text: Open access

Article information

Source
J. Integral Equations Applications, Volume 24, Number 2 (2012), 283-319.

Dates
First available in Project Euclid: 22 June 2012

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1340369466

Digital Object Identifier
doi:10.1216/JIE-2012-24-2-283

Mathematical Reviews number (MathSciNet)
MR2945806

Zentralblatt MATH identifier
1335.34023

Subjects
Primary: 34A08: Fractional differential equations 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions

Keywords
Existence and uniqueness of solutions nonlinear fractional differential equations of arbitrary order Gronwall inequality initial value problem Cauchy-Peano method successive approximations topological degree

Citation

Tisdell, Christopher C. On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order. J. Integral Equations Applications 24 (2012), no. 2, 283--319. doi:10.1216/JIE-2012-24-2-283. https://projecteuclid.org/euclid.jiea/1340369466


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