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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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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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.
AbstractList 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.
Author Alyami, Maryam Ahmed
Ghanmi, Abdeljabbar
Alhirabi, Hawatin Mohammed
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