Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations ABSTRACT | FULL TEXT
Keywords
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
Keywords
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 |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | February 1, 2011 |
| Published in Issue | Year 2011 Volume: 40 Issue: 2 |