Fractional boundary value problems on the half line

• Autorzy: Frioui A. , Guezane-Lakoud A. , Khaldi R.

Identyfikatory

DOI

10.7494/OpMath.2017.37.2.265

• Języki publikacji: EN

Abstrakty

EN

In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.

Słowa kluczowe

EN

boundary value problem at resonance; existence of solution; unbounded interval; coincidence degree of Mawhin; fractional differential equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 2
• Strony: 265--280
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Frioui A.

• University Guelma Laboratory of Applied Mathematics and Modeling P.O. Box 401, Guelma 24000, Algeria

autor

Guezane-Lakoud A.

• University Badji Mokhtar-Annaba Faculty of Sciences Laboratory of Advanced Materials P.O. Box 12, 23000, Annaba, Algeria

autor

Khaldi R.

• University Badji Mokhtar-Annaba Faculty of Sciences Laboratory of Advanced Materials P.O. Box 12, 23000, Annaba, Algeria

Bibliografia

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• [12] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier Science, Amsterdam, vol. 204, 2006.
• [13] N. Kosmatov, Multi-point boundary value problems on an unbounded domain at resonance, Nonlinear Anal. 68 (2008) 8, 2158-2171.
• [14] R. Ma, Existence of positive solutions for second-order boundary value problems on infinity intervals, Appl. Math. Lett. 16 (2003) 1, 33-39.
• [15] J. Mawhin, Topological degree methods in nonlinear boundary value problems, NSFCBMS Regional Conference Series in Mathematics, Am. Math. Soc, Providence, 1979.
• [16] D. O’Regan, B. Yan, R.P. Agarwal, Solutions in weighted spaces of singular boundary value problems on the half-line, J. Comput. Appl. Math. 205 (2007), 751-763.
• [17] X. Su, S. Zhang, Unbounded solutions to a boundary value problem of fractional order on the half-line, Comput. Math. Appl. 61 (2011), 1079-1087.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).