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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, Number 3, Pages 24–37 (Mi basm430)  
Research articles

Resonant Riemann–Liouville fractional differential equations with periodic boundary conditions

Smail Djebaliab, Lamine Gueddac

a Department of Mathematics, Faculty of Sciences, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia
b Laboratoire Théorie du point Fixe & Applications École Normale Supérieure, B.P. 92, 16006 Kouba, Algiers, Algeria
c Department of Maths-Informatique, Hamma Lakhdar University, 39000 El-Oued, Algeria
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Abstract: In this paper, by using the coincidence degree theory due to J. Mawhin, we consider the solvability of a class of nonlinear fractional two-point boundary value problems at resonance. An example of application illustrates the existence result.
Keywords and phrases: fractional differential equations, resonance, coincidence degree, Riemann-Liouville fractional derivative.
Received: 23.08.2015
Document Type: Article
MSC: 34A08, 37C25, 54H25
Language: English
Citation: Smail Djebali, Lamine Guedda, “Resonant Riemann–Liouville fractional differential equations with periodic boundary conditions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 3, 24–37
Citation in format AMSBIB
\Bibitem{DjeGue16}
\by Smail~Djebali, Lamine~Guedda
\paper Resonant Riemann--Liouville fractional differential equations with periodic boundary conditions
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2016
\issue 3
\pages 24--37
\mathnet{http://mi.mathnet.ru/basm430}
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