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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 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

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.

MSC: 34A08, 37C25, 54H25

Received: 23.08.2015

Language: English



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