KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

Monotone iterative technique with initial time difference for fractional differential equations

Ali YAKAR
Coşkun YAKAR
Sayfa
331–340
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we employe the monotone iterative technique for fractional differential equations of Riemann-Liouville type by choosing upper and lower solutions that start at different initial times.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we employe the monotone iterative technique for fractional differential equations of Riemann-Liouville type by choosing upper and lower solutions that start at different initial times.
📊
Temel Bulgular & Veri:In this paper, we employe the monotone iterative technique for fractional differential equations of Riemann-Liouville type by choosing upper and lower solutions that start at different initial times.
💡
Sonuç & Katkı:In this paper, we employe the monotone iterative technique for fractional differential equations of Riemann-Liouville type by choosing upper and lower solutions that start at different initial times.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we employe the monotone iterative technique for fractional differential equations of Riemann-Liouville type by choosing upper and lower solutions that start at different initial times.

🔖

Bu Makaleye Atıf Yap

YAKAR, A., YAKAR, C. (2022). Monotone iterative technique with initial time difference for fractional differential equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 331–340. https://ajindex.com/articles/530607

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. Deekshitulu, Gvsr. Generalized monotone iterative technique for fractional R-L differential equations, Nonlinear Studies 16 (1), Pages 85–94, 2009
  2. 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
  3. Köksal, 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
  4. Ladde, G. S, Lakshmikantham, V. and Vatsala A. S. Monotone Iterative Technique for Non- linear Differential Equations (Pitman Publishing Inc., Boston, 1985)
  5. Lakshmikantham, V., Leela, S. and Vasundhara, Devi J. Theory of Fractional Dynamic Systems (Cambridge Academic Publishers, Cambridge, 2009)
  6. 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
  8. 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
  10. 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)
  12. 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
  14. Yakar, C. and Yakar, A. Further generalization of quasilinearization method with initial time difference J. of Appl. Funct. Anal. 4 (4), 714–727, 2009
  15. Yakar, C. and Yakar. A. A refinement of quasilinearization method for Caputo sense frac- tiona