English

Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

Analysis of PDEs 2012-11-05 v1

Abstract

In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.

Keywords

Cite

@article{arxiv.1110.4922,
  title  = {Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives},
  author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1110.4922},
  year   = {2012}
}

Comments

Submitted 17-Jul-2011; revised 09-Oct-2011; accepted 21-Oct-2011; for publication in the journal 'Differential Equations & Applications' (http://dea.ele-math.com)