Title: Integral Boundary Value Problems for Fractional Impulsive Integro Differential Equations in Banach Spaces
Author(s): A. Anguraj, M. Kasthuri, P. Karthikeyan
Pages: 56-67
Cite as:
A. Anguraj, M. Kasthuri, P. Karthikeyan, Integral Boundary Value Problems for Fractional Impulsive Integro Differential Equations in Banach Spaces, Int. J. Anal. Appl., 5 (1) (2014), 56-67.


We study in this paper,the existence of solutions for fractional integro differential equations with impulsive and integral conditions by using fixed point method. We establish the Sufficient conditions and unique solution for given problem. An Example is also explained to the main results.

Full Text: PDF



  1. A. Anguraj, P. Karthikeyan, and G. M. NGu´er´ekata; Nonlocal Cauchy problem for some fractional abstract integrodifferential equations in Banach space, Communications in Mathematical Analysis , vol.55, no. 6, pp. 1?, 2009. Google Scholar

  2. A. Anguraj, P. Karthikeyan and J.J. Trujillo; Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition, Advances in Difference Equations,Volume 2011, Article ID 690653,12pages, doi:10.1155/2011/690653 Google Scholar

  3. B. Ahmad, J. J. Nieto; Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions, Bound. Value Probl.(2009) Art. ID 708576, 11 pp.. Google Scholar

  4. B. Ahmad, A. Alsaedi; Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions, Nonlinear Analysis, 10 (2009) 358-367. Google Scholar

  5. C. Bai; Positive solutions for nonlinear fractional differential equations with coefficient that changes sign Nonlinear Analysis: Theory, Methods and Applications, 64 (2006) 677-685. Google Scholar

  6. Z. Hu, W. Liu; Solvability for fractional order boundary value problem at resonance, Boundary value problem, 20(2011)1-10. Google Scholar

  7. J. R Wang, Y. Z. and M. Feckan; On recent developments in the theory of boundary value problems for impulsive fractional differential equations, Computers and mathematics with Applications, 64(2012) 3008-3020. Google Scholar

  8. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo; Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006. Google Scholar

  9. V. Lakshmikantham, S. Leela, J. Vasundhara Devi; Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009. Google Scholar

  10. J. Sabatier, O. P. Agrawal, J. A. T. Machado (Eds.); Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, 2007. Google Scholar

  11. S. G. Samko, A. A. Kilbas, O. I. Marichev; Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, New York, NY, USA, 1993. Google Scholar

  12. D. R. Smart; Fixed Point Theorems, Cambridge University Press, 1980. Google Scholar

  13. X. Su; Boundary value problem for a coupled system of nonlinear fractional differential equations, Applied Mathematics Letters, 22 (2009) 64-69. Google Scholar

  14. T.L. Guo and W. Jiang, Impulsive problems for fractional differential equations with boundary value conditions, Computers and mathematics with Applications, 64(2012) 3281-3291. Google Scholar

  15. G. Wang, W. Liu; The existence of solutions for a fractional 2m-point boundary value problems, Journal of Applied Mathematics. Google Scholar

  16. G. Wang, W. Liu; Existence results for a coupled system of nonlinear fractional 2m-point boundary value problems at resonance, Advances in difference equations,doi:10.1186/1687- 1847-2011-44. Google Scholar

  17. G.Wang, W. Liu, C. Ren, Existence Of Solutions For Multi-Point Nonlinear Differential Equations Of Fractional Orders With Integral Boundary Conditions , Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 54, pp. 1-10. Google Scholar


Copyright © 2020 IJAA, unless otherwise stated.