KaydedilenlerDerginizi ekleyin

Dergiler / Fundamental Journal of Mathematics and Applications / 2022 / Cilt: 5 Sayı: 2

Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems

Tuğba ŞENLİK ÇERDİK
Sayfa
114–126
Yayın Tarihi
2022-06-01
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)

Finally, to show the applicability of the main result, an illustrative example is also involved.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this work is to analyze the existence of positive solutions for a coupled system of Hadamard type fractional boundary value problems.
📊
Temel Bulgular & Veri:By using the five functional fixed point theorem, the conditions for the existence of positive solutions are derived.
💡
Sonuç & Katkı:Finally, to show the applicability of the main result, an illustrative example is also involved.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fixed-point theorem · Hadamard fractional differential systems · Positive solutions

Abstract

The aim of this work is to analyze the existence of positive solutions for a coupled system of Hadamard type fractional boundary value problems. By using the five functional fixed point theorem, the conditions for the existence of positive solutions are derived. Finally, to show the applicability of the main result, an illustrative example is also involved.

🔖

Bu Makaleye Atıf Yap

ÇERDİK, T. Ş. (2022). Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems. Fundamental Journal of Mathematics and Applications, Cilt: 5 Sayı: 2, 114–126. https://ajindex.com/articles/905670

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Differential Equations, John Wiley, New York, 1993
  2. S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, 1993
  3. I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999
  4. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, In: North-Holland Mathematics Studies, vol. 204, Elsevier Science B.V, Amsterdam, 2006
  5. V. Lakshmikantham, S. Leela, J.V. Devi, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009
  6. J. R. Graef, L. Kong, Q. Kong, M. Wang, Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary condition, Fract. Calc. Appl. Anal., 15(3) (2012), 509-528
  7. A. Cabada, G. Wang, Positive solutions of nonlinear fractional differential equations with integral boundary value conditions, J. Math. Anal. Appl., 389 (2012), 403-411
  8. J. Tariboon, S. Ntouyas, W. Sudsutad, Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions, J. Nonlinear Sci. Appl., 9 (2016), 295-308
  9. J. He, M. Jia, X. Liu, H. Chen, Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity, Adv. Di er. Equ., 49 (2018)
  10. K. R. Prasad, M. Khuddush, P. Veeraiah, Countably many positive solutions for singular R-L fractional order bvp with R-S integral boundary conditions, Nonlinear Stud., 27(4) (2020), 1075-1089
  11. Z. B. Bai, On positive solutions of a nonlocal fractional boundary value problem, Nonlinear Anal., 72 (2010), 916-924
  12. T. S. Cerdik, F. Y. Deren, N. A. Hamal, Unbounded solutions for boundary value problems of Riemann Liouville fractional differential equations on the half-line, Fixed Point Theory, 19 (2018), 93-106
  13. F. Y. Deren, T. S. Cerdik, R. P. Agarwal, Existence criteria of positive solutions for fractional p-Laplacian boundary value problems, Filomat, 34(11) (2020)
  14. N. Nyamoradi, Multiple positive solutions for fractional differential systems, Ann. Univ. Ferrara, 58 (2012), 359-369
  15. S. Vong, Positive solutions of singular fractional differential equations with integral boundary conditions, Math. Comput. Model., 57(5-6) (2013), 1053-1059
  16. W. G. Yang, Y. P.