Nonlinear sequential fractional differential equations with nonlocal boundary conditions

被引：0
|
作者：
Nazim I Mahmudov
Muath Awadalla
Kanda Abuassba
机构：
[1] Eastern Mediterranean University,
来源：
Advances in Difference Equations | / 2017卷
关键词：
Caputo fractional derivative; sequential fractional derivative; existence; fixed point; 34A08; 34B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article develops the existence theory for sequential fractional differential equations involving Caputo fractional derivative of order 1<α<2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1<\alpha<2$\end{document} with nonlocal integral boundary conditions. Examples are given to demonstrate applications of our results.
引用
收藏
相关论文
共 50 条
  • [1] Nonlinear sequential fractional differential equations with nonlocal boundary conditions
    Mahmudov, Nazim I.
    Awadalla, Muath
    Abuassba, Kanda
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [2] Nonlinear fractional differential equations with nonlocal integral boundary conditions
    Suli Liu
    Huilai Li
    Qun Dai
    [J]. Advances in Difference Equations, 2015
  • [3] Nonlinear fractional differential equations with nonlocal integral boundary conditions
    Liu, Suli
    Li, Huilai
    Dai, Qun
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [4] On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions
    Tudorache, Alexandru
    Luca, Rodica
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (02)
  • [5] Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval
    Alghamdi, Najla
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [6] Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval
    Najla Alghamdi
    Bashir Ahmad
    Sotiris K Ntouyas
    Ahmed Alsaedi
    [J]. Advances in Difference Equations, 2017
  • [7] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Bashir Ahmad
    Ahmed Alsaedi
    [J]. Boundary Value Problems, 2012
  • [8] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [9] Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives
    Alhothuali, M. S.
    Alsaedi, Ahmed
    Ahmad, Bashir
    Aqlan, Mohammed H.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [10] Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives
    MS Alhothuali
    Ahmed Alsaedi
    Bashir Ahmad
    Mohammed H Aqlan
    [J]. Advances in Difference Equations, 2017
12345