Asymptotic integration of some nonlinear differential equations with fractional time derivative

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 5, 2011, Pages

  Bǎleanu, Dumitru ^a,b   Agarwal, Ravi P ^c   Mustafa, Octavian G ^d   Coşulschi, Mirel ^d  

^a CANKAYA UNIVERSITY   (Turkey)

^b INSTITUTE OF SPACE SCIENCES   (Romania)

^c Florida Institute of Technology ^*  (United States)

^d UNIVERSITY OF CRAIOVA   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78751562056     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/5/055203     Document Type: Article

References (13)

1. Ahlfors L V 1979 Complex Analysis 3rd edn (New York: McGraw-Hill)
2. Avramescu C 1969 Sur l'existence des solutions convergentes de systèmes d'équations différentielles non linéaires Ann. Mat. Pura Appl. 81 147-68
3. Bǎleanu D, Mustafa O G and Agarwal R P 2010 An existence result for a superlinear fractional differential equation Appl. Math. Lett. 23 1129-32
4. Bǎleanu D, Mustafa O G and Agarwal R P 2010 On the solution set for a class of sequential fractional differential equations J. Phys. A: Math. Theor. 43 385209
5. Bǎleanu D and Mustafa O G 2009 On the asymptotic integration of a class of sublinear fractional differential equations J. Math. Phys. 50 123520
6. Bellman R 1953 Stability Theory of Differential Equations (London: McGraw-Hill)
7. Cuesta E, Lubich C and Palencia C 2006 Convolution quadrature time discretization of fractional diffusion-wave equations Math. Comput. 254 673-96
8. Kilbas A A, Srivastava H M and Trujillo J J 2006 Theory and Applications of Fractional Differential Equations (New York: North-Holland)
9. Miller K S and Ross B 1993 An Introduction to The Fractional Calculus and Fractional Differential Equations (New York: Wiley)
10. Mustafa O G and Rogovchenko Yu V 2002 Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations Nonlinear Anal. TMA 51 339-68
11. Podlubny I 1999 Fractional Differential Equations (San Diego, CA: Academic Press)
12. Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives: Theory and Applications (Switzerland: Gordon and Breach)
13. Volterra V 1913 Leçons sur Les Équations Intégrales et Les Équations Intégro-Différentielles (Paris: Gauthier-Villars)