Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

被引：0
|
作者：
Aziz Khan
Muhammed I. Syam
Akbar Zada
Hasib Khan
机构：
[1] University of Peshawar,Department of Mathematics
[2] Department of Mathematical Sciences,UAE University
[3] College of Science,State Key Laboratory of Hydrology
[4] Hohai University,Water Resources and Hydraulic Engineering
[5] Shaheed Benazir Bhutto University,undefined
来源：
The European Physical Journal Plus | / 133卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \phi_{p}$\end{document} based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.
引用
收藏
相关论文
共 50 条
  • [1] Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives
    Khan, Aziz
    Syam, Muhammed I.
    Zada, Akbar
    Khan, Hasib
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (07):
  • [2] Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann-Liouville derivatives
    Alidousti, Javad
    Khoshsiar Ghaziani, Reza
    Bayati Eshkaftaki, Ali
    TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (05) : 1260 - 1278
  • [3] Fractional Differential and Integral Equations of Riemann-Liouville versus Caputo
    Vatsala, A. S.
    Lakshmikantham, V.
    APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '34, 2008, 1067 : 87 - +
  • [4] Riemann-Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games
    Chikrii, Arkadii
    Matychyn, Ivan
    ADVANCES IN DYNAMIC GAMES: THEORY, APPLICATIONS, AND NUMERICAL METHODS FOR DIFFERENTIAL AND STOCHASTIC GAMES: DEDICATED TO THE MEMORY OF ARIK A. MELIKYAN, 2011, 11 : 61 - 81
  • [5] Fractional differential repetitive processes with Riemann-Liouville and Caputo derivatives
    Idczak, Dariusz
    Kamocki, Rafal
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2015, 26 (01) : 193 - 206
  • [6] Nonlinear sequential Riemann-Liouville and Caputo fractional differential equations with generalized fractional integral conditions
    Promsakon, Chanon
    Phuangthong, Nawapol
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [7] EXISTENCE OF POSITIVE SOLUTIONS FOR DIFFERENTIAL EQUATIONS INVOLVING RIEMANN-LIOUVILLE AND CAPUTO FRACTIONAL DERIVATIVES
    Li, Yunhong
    Li, Yan
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018, Mathematical Research Press (2018):
  • [8] Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann-Liouville type
    Hernandez-Hernandez, M. E.
    Kolokoltsov, V. N.
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 90 (02) : 224 - 255
  • [9] INITIALIZATION OF RIEMANN-LIOUVILLE AND CAPUTO FRACTIONAL DERIVATIVES
    Jean-Claude, Trigeassou
    Nezha, Maamri
    Alain, Oustaloup
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2011, VOL 3, PTS A AND B, 2012, : 219 - 226
  • [10] Analysis of Caputo Sequential Fractional Differential Equations with Generalized Riemann-Liouville Boundary Conditions
    Gunasekaran, Nallappan
    Manigandan, Murugesan
    Vinoth, Seralan
    Vadivel, Rajarathinam
    FRACTAL AND FRACTIONAL, 2024, 8 (08)
12345