Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line

• Autorzy: Amina Boucenna , Toufik Moussaoui
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional differential equation; half-line; Krasnoselsk'ii's fixed point theorem; existence; positive solution

Kategorie tematyczne

• 74H20: Existence of solutions
• 26A33: Fractional derivatives and integrals
• 47H10: Fixed-point theorems

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2014
• Tom: 34
• Numer: 2
• Strony: 169-189

Daty

wydano

2014

otrzymano

2014-03-03

Twórcy

autor

Amina Boucenna

• Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria

autor

Toufik Moussaoui

• 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).

Identyfikatory

DOI

10.7151/dmdico1162