Solvability of two-point fractional boundary value problems at resonance

Zidane Baitiche; Maamar Benbachir; Kaddour Guerbati

doi:10.26637/MJM0802/0023

Abstract

A two-point boundary value problem of nonlinear fractional differential equations at resonance is considered in this work. An existence result is obtained with the use of the generalized Miranda theorem.

Keywords:

Fractional differential equations, Fractional Caputo derivative, boundary value problem, Resonance, Miranda’s theorem, \(R_{\sigma}\)-set

Mathematics Subject Classification:

Mathematics

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Zidane Baitiche Laboratoire de Math´ematiques et Sciences appliqu ´ees, University of Ghardaia, Algeria.
Maamar Benbachir Faculty of Sciences, Saad Dahlab University, Blida1, Algeria. https://orcid.org/0000-0003-3519-1153
Kaddour Guerbati Laboratoire de Math´ematiques et Sciences appliqu ´ees, University of Ghardaia, Algeria.

Pages: 464-468
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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