Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary... We discuss the existence and uniqueness of solutions for a nonlocal three-point boundary value problem of sequential fractional differential equations on an arbitrary interval [ ξ , ζ ] , ξ , ζ ∈ R $[\xi, \zeta], \xi, \zeta\in\mathbb{R}$ . Our results rely on standard fixed point theorems and are well illustrated with examples. The case for non-homogeneous three-point boundary conditions is also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by The Author(s)
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-017-1303-2
Publisher site
See Article on Publisher Site

Abstract

We discuss the existence and uniqueness of solutions for a nonlocal three-point boundary value problem of sequential fractional differential equations on an arbitrary interval [ ξ , ζ ] , ξ , ζ ∈ R $[\xi, \zeta], \xi, \zeta\in\mathbb{R}$ . Our results rely on standard fixed point theorems and are well illustrated with examples. The case for non-homogeneous three-point boundary conditions is also discussed.

Journal

Advances in Difference EquationsSpringer Journals

Published: Aug 22, 2017

References

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