BibTex RIS Cite

Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 2, 331 - 340, 01.02.2011

References

  • Deekshitulu, Gvsr. Generalized monotone iterative technique for fractional R-L differential equations, Nonlinear Studies 16 (1), Pages 85–94, 2009.
  • Hu, T. C., Qian, D. L. and Li C. P. Comparison theorems of fractional differential equations, Comm. Appl. Math. Comput. 23 (1), 97–103, 2009.
  • K¨oksal, S. and Yakar, C. Generalized quasilinearization method with initial time difference, Simulation, an International Journal of Electrical, Electronic and other Physical Systems 24(5), 2002.
  • Ladde, G. S, Lakshmikantham, V. and Vatsala A. S. Monotone Iterative Technique for Non- linear Differential Equations(Pitman Publishing Inc., Boston, 1985).
  • Lakshmikantham, V., Leela, S. and Vasundhara, Devi J. Theory of Fractional Dynamic Systems(Cambridge Academic Publishers, Cambridge, 2009).
  • Lakshmikantham, V. and Vatsala, A. S. General uniqueness and monotone iterative tech- nique for fractional differential equations, Applied Mathematics Letters 21 (8), 828–834, 2008. [7] Lakshmikantham, V. and Vatsala, A. S. Basic theory of fractional differential equations, Nonlinear Analysis: Theory, Methods and Applications 69 (8), 2677–2682, 2008.
  • McRae, F. A. Monotone iterative technique and existence results for fractional differential Equations, Nonlinear Analysis: Theory, Methods and Applications 71 (12), 6093–6096, 2009. [9] McRae, F. A. Monotone iterative technique for PBVP of Caputo fractional differential equa- tions, to appear.
  • Oldham, K. B. and Spanier, J. The Fractional Calculus (Academic Press, New York, 1974). [11] Podlubny, I. Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applica- tions(Mathematics in Science and Engineering, 198, Academic Press, San Diego, 1999).
  • Vasundhara Devi, J. Generalized monotone technique for periodic boundary value problems of fractional differential equations, Communications in Applied Analysis 12 (4), 399–406, 2008. [13] Yakar, C. and Yakar, A. An extension of the quasilinearization method with initial time dif- ference, Dynamics of Continuous, Discrete and Impulsive Systems (Series A: Mathematical Analysis) DCDIS 14 (S2) 1-305, 275–279, 2007.
  • Yakar, C. and Yakar, A. Further generalization of quasilinearization method with initial time differenceJ. of Appl. Funct. Anal. 4 (4), 714–727, 2009.
  • Yakar, C. and Yakar. A. A refinement of quasilinearization method for Caputo sense frac- tional order differential equations, Abstract and Applied Analysis 2010, Article ID 704367, 10 pages, doi:10.1155/2010/704367

Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 2, 331 - 340, 01.02.2011

References

  • Deekshitulu, Gvsr. Generalized monotone iterative technique for fractional R-L differential equations, Nonlinear Studies 16 (1), Pages 85–94, 2009.
  • Hu, T. C., Qian, D. L. and Li C. P. Comparison theorems of fractional differential equations, Comm. Appl. Math. Comput. 23 (1), 97–103, 2009.
  • K¨oksal, S. and Yakar, C. Generalized quasilinearization method with initial time difference, Simulation, an International Journal of Electrical, Electronic and other Physical Systems 24(5), 2002.
  • Ladde, G. S, Lakshmikantham, V. and Vatsala A. S. Monotone Iterative Technique for Non- linear Differential Equations(Pitman Publishing Inc., Boston, 1985).
  • Lakshmikantham, V., Leela, S. and Vasundhara, Devi J. Theory of Fractional Dynamic Systems(Cambridge Academic Publishers, Cambridge, 2009).
  • Lakshmikantham, V. and Vatsala, A. S. General uniqueness and monotone iterative tech- nique for fractional differential equations, Applied Mathematics Letters 21 (8), 828–834, 2008. [7] Lakshmikantham, V. and Vatsala, A. S. Basic theory of fractional differential equations, Nonlinear Analysis: Theory, Methods and Applications 69 (8), 2677–2682, 2008.
  • McRae, F. A. Monotone iterative technique and existence results for fractional differential Equations, Nonlinear Analysis: Theory, Methods and Applications 71 (12), 6093–6096, 2009. [9] McRae, F. A. Monotone iterative technique for PBVP of Caputo fractional differential equa- tions, to appear.
  • Oldham, K. B. and Spanier, J. The Fractional Calculus (Academic Press, New York, 1974). [11] Podlubny, I. Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applica- tions(Mathematics in Science and Engineering, 198, Academic Press, San Diego, 1999).
  • Vasundhara Devi, J. Generalized monotone technique for periodic boundary value problems of fractional differential equations, Communications in Applied Analysis 12 (4), 399–406, 2008. [13] Yakar, C. and Yakar, A. An extension of the quasilinearization method with initial time dif- ference, Dynamics of Continuous, Discrete and Impulsive Systems (Series A: Mathematical Analysis) DCDIS 14 (S2) 1-305, 275–279, 2007.
  • Yakar, C. and Yakar, A. Further generalization of quasilinearization method with initial time differenceJ. of Appl. Funct. Anal. 4 (4), 714–727, 2009.
  • Yakar, C. and Yakar. A. A refinement of quasilinearization method for Caputo sense frac- tional order differential equations, Abstract and Applied Analysis 2010, Article ID 704367, 10 pages, doi:10.1155/2010/704367
There are 11 citations in total.

Details

Primary Language Turkish
Authors

Coşkun Yakar This is me

 ali Yakar

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 2

Cite

APA Yakar, C., & Yakar, ali. (2011). Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(2), 331-340.
AMA Yakar C, Yakar ali. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. February 2011;40(2):331-340.
Chicago Yakar, Coşkun, and  ali Yakar. “Monotone Iterative Technique With Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 2 (February 2011): 331-40.
EndNote Yakar C, Yakar ali (February 1, 2011) Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 2 331–340.
IEEE C. Yakar and  aliYakar, “Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 331–340, 2011.
ISNAD Yakar, Coşkun - Yakar, ali. “Monotone Iterative Technique With Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/2 (February2011), 331-340.
JAMA Yakar C, Yakar ali. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:331–340.
MLA Yakar, Coşkun and  ali Yakar. “Monotone Iterative Technique With Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, 2011, pp. 331-40.
Vancouver Yakar C, Yakar ali. Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(2):331-40.