African Diaspora Journal of Mathematics

Existence of Solutions of IVPs for Differential Systems on Half Line with Sequential Fractional Derivative Operators

Yuji Liu

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Abstract

In this article, we establish some existence results for solutions of a initial value problem of a nonlinear fractional differential system on half line involving the sequential Riemann-Liouville fractional derivatives. Our analysis relies on the Schauder fixed point theorem. An efficiency example is presented to illustrate the main theorem. As far as the author knows, the present work is perhaps the first one that deals with such kind of initial value problems for fractional differential systems on half line.

Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 18, Number 1 (2015), 27-54.

Dates
First available in Project Euclid: 2 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.adjm/1446472405

Mathematical Reviews number (MathSciNet)
MR3399806

Zentralblatt MATH identifier
1353.34009

Subjects
Primary: 92D25: Population dynamics (general) 34A37: Differential equations with impulses 34K15

Keywords
Initial value problem sequential fractional differential system fixed point theorem

Citation

Liu, Yuji. Existence of Solutions of IVPs for Differential Systems on Half Line with Sequential Fractional Derivative Operators. Afr. Diaspora J. Math. (N.S.) 18 (2015), no. 1, 27--54. https://projecteuclid.org/euclid.adjm/1446472405


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