Existence results for hybrid fractional neutral differential equations

被引:0
|
作者
Azmat Ullah Khan Niazi
Jiang Wei
Mujeeb Ur Rehman
Du Jun
机构
[1] Anhui University,School of Mathematical Sciences
[2] National University of Sciences and Technology (NUST),Department of Mathematics, School of Natural Sciences (SNS)
来源
Advances in Difference Equations | / 2017卷
关键词
hybrid fractional neutral differential equations; initial value problem; hybrid fixed point theorem; 34K37; 34B15;
D O I
暂无
中图分类号
学科分类号
摘要
We discuss the existence of solutions of initial value problems for a class of hybrid fractional neutral differential equations. To prove the main results, we use a hybrid fixed point theorem for the sum of three operators. We also derive the dependence of a solution on the initial data and present an example to illustrate the results.
引用
收藏
相关论文
共 50 条
  • [1] Existence results for hybrid fractional neutral differential equations
    Niazi, Azmat Ullah Khan
    Wei, Jiang
    Rehman, Mujeeb Ur
    Jun, Du
    ADVANCES IN DIFFERENCE EQUATIONS, 2017, 2017
  • [2] EXISTENCE OF SOLUTION FOR FRACTIONAL NEUTRAL HYBRID DIFFERENTIAL EQUATIONS WITH FINITE DELALY
    Matar, Mohammed M.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2141 - 2148
  • [3] Existence results for nonlinear neutral generalized Caputo fractional differential equations
    Naas Adjimi
    Abdelatif Boutiara
    Mohammed S. Abdo
    Maamar Benbachir
    Journal of Pseudo-Differential Operators and Applications, 2021, 12
  • [4] Existence results for nonlinear neutral generalized Caputo fractional differential equations
    Adjimi, Naas
    Boutiara, Abdelatif
    Abdo, Mohammed S.
    Benbachir, Maamar
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (02)
  • [5] Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses
    Anguraj, Annamalai
    Ranjini, Mullarithodi C.
    Rivero, Margarita
    Trujillo, Juan J.
    MATHEMATICS, 2015, 3 (01): : 16 - 28
  • [6] Existence results for a coupled system of nonlinear neutral fractional differential equations
    Liu, Sanyang
    Wang, Guotao
    Zhang, Lihong
    APPLIED MATHEMATICS LETTERS, 2013, 26 (12) : 1120 - 1124
  • [7] Existence and attractivity results for ψ-Hilfer hybrid fractional differential equations
    Bachir, Fatima Si
    Abbas, Said
    Benbachir, Maamar
    Benchohra, Mouffak
    N'Guerekata, Gaston M.
    CUBO-A MATHEMATICAL JOURNAL, 2021, 23 (01): : 145 - 159
  • [8] Existence results for hybrid fractional integro-differential equations
    Surang Sitho
    Sotiris K Ntouyas
    Jessada Tariboon
    Boundary Value Problems, 2015
  • [9] Existence Results for the Distributed Order Fractional Hybrid Differential Equations
    Noroozi, Hossein
    Ansari, Alireza
    Dahaghin, Mohammad Shafi
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [10] Existence results for hybrid fractional integro-differential equations
    Sitho, Surang
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 13