Axioms (Nov 2022)

Existence Results for an <i>m</i>-Point Mixed Fractional-Order Problem at Resonance on the Half-Line

  • Ogbu F. Imaga,
  • Samuel A. Iyase,
  • Peter O. Ogunniyi

DOI
https://doi.org/10.3390/axioms11110630
Journal volume & issue
Vol. 11, no. 11
p. 630

Abstract

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This work considers the existence of solutions for a mixed fractional-order boundary value problem at resonance on the half-line. The Mawhin’s coincidence degree theory will be used to prove existence results when the dimension of the kernel of the linear fractional differential operator is equal to two. An example is given to demonstrate the main result obtained.

Keywords