New existence results for nonlinear fractional differential equations with three-point integral boundary conditions

Advances in Difference Equations

Volumn 2011, Issue , 2011, Pages

  Ahmad, Bashir ^a   Ntouyas, Sotiris K ^b   Alsaedi, Ahmed ^a  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79952219332     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/2011/107384     Document Type: Article

References (22)

1. Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering
2. Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations 2006 204 Amsterdam, The Netherlands Elsevier xvi+523 North-Holland Mathematics Studies
3. Sabatier J., Agrawal O. P., Machado J. A. T., Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering 2007 Dordrecht, The Netherlands Springer xiv+552
4. 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
5. Agarwal R. P., de Andrade B., Cuevas C., Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations Nonlinear Analysis: Real World Applications 2010 11 5 3532 3554
6. Agarwal R. P., Lakshmikantham V., Nieto J. J., On the concept of solution for fractional differential equations with uncertainty Nonlinear Analysis: Theory, Methods Applications 2010 72 6 2859 2862
7. Agarwal R. P., Zhou Y., He Y., Existence of fractional neutral functional differential equations Computers Mathematics with Applications 2010 59 3 1095 1100
8. Ahmad B., Sivasundaram S., On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order Applied Mathematics and Computation 2010 217 2 480 487
9. Ahmad B., Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations Applied Mathematics Letters 2010 23 4 390 394
10. Ahmad B., Existence of solutions for fractional differential equations of order q(2,3] with anti-periodic boundary conditions Journal of Applied Mathematics and Computing 2010 34 1-2 385 391
11. Ahmad B., Nieto J. J., Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations Abstract and Applied Analysis 2009 2009 9
12. Ahmad B., Alsaedi A., Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations Fixed Point Theory and Applications 2010 2010 17
13. 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
14. Ahmad B., Nieto J. J., Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Computers Mathematics with Applications 2009 58 9 1838 1843
15. Bai Z., On positive solutions of a nonlocal fractional boundary value problem Nonlinear Analysis: Theory, Methods Applications 2010 72 2 916 924
16. Balachandran K., Trujillo J. J., The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces Nonlinear Analysis: Theory, Methods Applications 2010 72 12 4587 4593
17. Benchohra M., Hamani S., Ntouyas S. K., Boundary value problems for differential equations with fractional order and nonlocal conditions Nonlinear Analysis: Theory, Methods Applications 2009 71 7-8 2391 2396
18. Lazarevi M. P., Spasi A. M., Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach Mathematical and Computer Modelling 2009 49 3-4 475 481
19. Nieto J. J., Maximum principles for fractional differential equations derived from Mittag-Leffler functions Applied Mathematics Letters 2010 23 10 1248 1251
20. Wei Z., Li Q., Che J., Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative Journal of Mathematical Analysis and Applications 2010 367 1 260 272
21. Zhang S., Positive solutions to singular boundary value problem for nonlinear fractional differential equation Computers Mathematics with Applications 2010 59 3 1300 1309
22. Krasnoselskii M. A., Two remarks on the method of successive approximations Uspekhi Matematicheskikh Nauk 1955 10 123 127