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

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...

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Bibliographic Details
Published inBoletim da Sociedade Paranaense de Matemática Vol. 42; pp. 1 - 9
Main Authors Alyami, Maryam Ahmed, Alhirabi, Hawatin Mohammed, Ghanmi, Abdeljabbar
Format Journal Article
LanguageEnglish
Published Sociedade Brasileira de Matemática 01.01.2024
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Summary: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.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.63039