Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

被引：0
作者：
Nazim I. Mahmudov
Areen Al-Khateeb
机构：
[1] Eastern Mediterranean University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Fractional differential equations; Mixed boundary value problem; Fixed point theorem; 34A08; 34B;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the existence and uniqueness of solutions for coupled 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}$1<\alpha \leq 2$\end{document} with integral boundary conditions. Moreover, we discuss Ulam–Hyers stability for the problem at hand.
引用
收藏
相关论文
共 75 条
  • [1] Agarwal R.P.(2015)Stability of Caputo fractional differential equations by Lyapunov functions Appl. Math. 60 653-676
  • [2] O’Regan D.(2011)Impulsive periodic boundary value problems for fractional differential equation involving Riemann–Liouville sequential fractional derivative J. Math. Anal. Appl. 384 211-231
  • [3] Hristova S.(2012)Sequential fractional differential equations with three-point boundary conditions Comput. Math. Appl. 64 3046-3052
  • [4] Bai C.(2013)Boundary value problems for a class of sequential integrodifferential equations of fractional order J. Funct. Spaces Appl. 2013 615-622
  • [5] Ahmad B.(2015)Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions Appl. Math. Comput. 266 723-735
  • [6] Nieto J.J.(2016)Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions Open Math. 14 4689-4697
  • [7] Ahmad B.(2011)Sequential fractional differential equations with Hadamard derivative Commun. Nonlinear Sci. Numer. Simul. 16 415-420
  • [8] Nieto J.J.(2015)On the nonlinear fractional differential equations with Caputo sequential fractional derivative Adv. Math. Phys. 2015 1150-1156
  • [9] Ahmad B.(2009)On the generalization of second order nonlinear anti-periodic boundary value problems Nonlinear Stud. 16 149-158
  • [10] Ntouyas S.K.(2011)Anti-periodic fractional boundary value problems Comput. Math. Appl. 62 159-171
12345678