A note on Kirchhoff type boundary value problem involving Riemann-Liouville fractional derivative

Maryam Ahmed Alyami; Hawatin Mohammed Alhirabi; Abdeljabbar Ghanmi

doi:10.5269/bspm.63039

Maryam Ahmed Alyami University of Jeddah
Hawatin Mohammed Alhirabi University of Jeddah
Abdeljabbar Ghanmi Université de Tunis

Abstract

In this paper, we study some nonlinear Kirchhoff boundary value problems of fractional differential equations involving Riemann Liouville operator. Under appropriate assumptions on the functions in the given problem, we establish the existence of solutions using variational methods combined with the mountain pass theorem. Moreover, an illustrative example is presented to prove the validity of the main result.

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Author Biographies

Maryam Ahmed Alyami, University of Jeddah

Department of Mathematics

Hawatin Mohammed Alhirabi, University of Jeddah

Department of Mathematics

Abdeljabbar Ghanmi, Université de Tunis

Faculté des Sciences de Tunis

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