KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

Jun WU
Yicheng LİU
Sayfa
149–158
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)

Our methodsare based on the equivalent norm techniques and fixed point theorem.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we establish some existence and uniqueness results foran initial value problem with a Caputo fractional derivative.
📊
Temel Bulgular & Veri:Also, theconvergence of successive approximations is exhibited.
💡
Sonuç & Katkı:Our methodsare based on the equivalent norm techniques and fixed point theorem.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fractional differential equations · Krasnoselskii-Krein type condition · Equivalent norm.

Abstract

In this paper, we establish some existence and uniqueness results foran initial value problem with a Caputo fractional derivative. Also, theconvergence of successive approximations is exhibited. Our methodsare based on the equivalent norm techniques and fixed point theorem.

🔖

Bu Makaleye Atıf Yap

WU, J., LİU, Y. (2022). UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 149–158. https://ajindex.com/articles/530425

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (6)

  1. Agarwal, R.P., Zhou, Y., He, Y., Existence of fractional neutral functional differential equations, Computers and Mathematics with Applications, In Press.
  2. Ahmad, B., Nieto, J.J., Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations, Abstract and Applied Analysis, 200 Arara A. el al., Fractional order differential equations on an unbounded domain, Nonlinear Anal. TMA (in press). Belmekki, M., Nieto, J.J., Rodriguez-Lopez, R., Existence of Periodic Solution for a Nonlinear Fractional Differential Equation, Boundary Value Problems, 2009.
  3. Bhaskar, T. G., Lakshmikantham, V., Leela, S., Fractional differential equations with Krasnoselskii-Krein-type condition, Nonlinear Analysis: Hybrid Systems, 2009.
  4. Lakshmikantham, V., Leela, S., Nagumo-type uniqueness result for fractional differential equations, Nonlinear Analysis 71, 2886-2889, 2009.
  5. Lakshmikantham, V., Leela, S., A Krasnoselskii-Krein-type uniqueness result for fractional differential equations, Nonlinear Analysis 71, 3421-3424, 2009.
  6. Lakshmikantham, V., Leela, S., Vasundhara Devi J., Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, 2009.