Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations

Abstract and Applied Analysis

Volumn 2009, Issue , 2009, Pages

  Ahmad, Bashir ^a   Nieto, Juan J ^b  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949086378     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2009/494720     Document Type: Article

References (29)

1. Ahmad B., Nieto J. J., Existence results for a coupled system of nonlinear functional differential equation with three-point boundary value problem. preprint
2. Ahmad B., Nieto J. J., Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions Boundary Value Problems 2009 2009 11
3. Ahmad B., Otero-Espinar V., Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions. Boundary Value Problems. In press
4. Ahmad B., Sivasundaram S., Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions Communications in Applied Analysis 2009 13 121 228
5. Allison J., Kosmatov N., Multi-point boundary value problems of fractional order Communications in Applied Analysis 2008 12 451 458
6. Araya D., Lizama C., Almost automorphic mild solutions to fractional differential equations Nonlinear Analysis: Theory, Methods Applications 2008 69 11 3692 3705
7. Bonilla B., Rivero M., Rodrguez-Germ L., Trujillo J. J., Fractional differential equations as alternative models to nonlinear differential equations Applied Mathematics and Computation 2007 187 1 79 88 (Pubitemid 46635706)
8. Chang Y.-K., Nieto J. J., Some new existence results for fractional differential inclusions with boundary conditions Mathematical and Computer Modelling 2009 49 3-4 605 609
9. Gafiychuk V., Datsko B., Meleshko V., Mathematical modeling of time fractional reaction-diffusion systems Journal of Computational and Applied Mathematics 2008 220 1-2 215 225
10. Daftardar-Gejji V., Bhalekar S., Boundary value problems for multi-term fractional differential equations Journal of Mathematical Analysis and Applications 2008 345 2 754 765
11. Ibrahim R. W., Darus M., Subordination and superordination for univalent solutions for fractional differential equations Journal of Mathematical Analysis and Applications 2008 345 2 871 879
12. Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations 2006 204 Amsterdam, The Netherlands Elsevier Science xvi+523 North-Holland Mathematics Studies
13. Ladaci S., Loiseau J. J., Charef A., Fractional order adaptive high-gain controllers for a class of linear systems Communications in Nonlinear Science and Numerical Simulation 2008 13 4 707 714
14. Lazarevi M. P., Finite time stability analysis of PD fractional control of robotic time-delay systems Mechanics Research Communications 2006 33 2 269 279
15. Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering
16. Rida S. Z., El-Sherbiny H. M., Arafa A. A. M., On the solution of the fractional nonlinear Schrdinger equation Physics Letters A 2008 372 5 553 558
17. Samko S. G., Kilbas A. A., Marichev O. I., Fractional Integrals and Derivatives: Theory and Applications 1993 Yverdon, Switzerland Gordon and Breach Science xxxvi+976
18. Ilin V. A., Moiseev E. I., Nonlocal boundary value problem of the first kind for a Sturm Liouville operator in its differential and finite difference aspects Differential Equations 1987 23 803 810
19. Ilin V. A., Moiseev E. I., Nonlocal boundary value problem of the second kind for a Sturm Liouville operator Differential Equations 1987 23 979 987
20. Ahmad B., Approximation of solutions of the forced Duffing equation with m -point boundary conditions Communications in Applied Analysis 2009 13 11 20
21. Chang Y.-K., Nieto J. J., Li W.-S., On impulsive hyperbolic differential inclusions with nonlocal initial conditions Journal of Optimization Theory and Applications 2009 140 3 431 442
22. Chang Y.-K., Nieto J. J., Li W. S., Controllability of semi-linear differential systems with nonlocal initial conditions in Banach spaces. inpress Journal of Optimization Theory and Applications
23. Eloe P. W., Ahmad B., Positive solutions of a nonlinear n th order boundary value problem with nonlocal conditions Applied Mathematics Letters 2005 18 5 521 527
24. Graef J. R., Webb J. R. L., Third order boundary value problems with nonlocal boundary conditions Nonlinear Analysis: Theory, Methods Applications 2009 71 5-6 1542 1551
25. Gurevich P., Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions Journal of Differential Equations 2008 245 5 1323 1355
26. Ma R., Positive solutions of a nonlinear m -point boundary value problem Computers Mathematics with Applications 2001 42 6-7 755 765
27. Ma R., Multiple positive solutions for nonlinear m -point boundary value problems Applied Mathematics and Computation 2004 148 1 249 262
28. Lakshmikantham V., Leela S., Devi J. V., Theory of Fractional Dynamic Systems 2009 Cambridge, UK Cambridge Academic
29. Smart D. R., Fixed Point Theorems 1980 Cambridge, UK Cambridge University Press