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Abstrakty
The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
169-189
Opis fizyczny
Daty
wydano
2014
otrzymano
2014-03-03
Twórcy
autor
- Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
autor
- Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
Bibliografia
- [1] C. Corduneanu, Integral Equations and Stability of Freedback Systems (Academic Press, New York, 1973).
- [2] D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones (Academic Press, New York, 1988).
- [3] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations (Amsterdam, 2006).
- [4] I. Podlubny, Fractional Differential Equations (Academic Press, San Diego 1999).
- [5] X. Su and S. Zhang, Unbounded solutions to a boundary value problem of fractional order on the half-line, Comp. Math. Appl. 61 (2011) 1079-1087. doi: 10.1016/j.camwa.2010.12.058
- [6] E. Zeidler, Nonlinear Functional Analysis, T1, Fixed Point Theory (Springer 1985).
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1162