Existence results for sequential fractional integro-differential equations with impulsive conditions

被引：0
|
作者：
P. Karthikeyan
S. Poornima
机构：
[1] Sri Vasavi College,Department of Mathematics
来源：
International Journal of Dynamics and Control | 2024年 / 12卷
关键词：
Sequential fractional differential equations; Impulses; Existence; Uniqueness; 34A08; 34A37; 34A12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the existence and uniqueness results for sequential fractional integro-differential equations with impulsive conditions. The nonlinear term contains the integral terms which are used to represent in the thermal conductivity of the material problems. Our methods are based on the fixed point theorems such as Banach fixed point theorem and Krasnoselskii’s. We obtain the sufficient conditions of the existence of solutions. Examples are given to illustrate the results.
引用
收藏
页码：227 / 236
页数：9
相关论文
共 50 条
  • [11] Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Agarwal, Ravi P.
    Alsaedi, Ahmed
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [12] Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
    Bashir Ahmad
    Sotiris K Ntouyas
    Ravi P Agarwal
    Ahmed Alsaedi
    [J]. Boundary Value Problems, 2016
  • [13] Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces
    Chalishajar, Dimplekumar
    Ravichandran, Chokkalingam
    Dhanalakshmi, Shanmugam
    Murugesu, Rangasamy
    [J]. APPLIED SYSTEM INNOVATION, 2019, 2 (02) : 1 - 17
  • [14] Existence of the Mild Solution to Impulsive Nonlocal Fractional Integro-Differential Equations
    Kumar S.
    Chadha A.
    Rohila R.
    [J]. International Journal of Applied and Computational Mathematics, 2024, 10 (1)
  • [15] Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions
    Ahmad, Bashir
    Luca, Rodica
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 516 - 534
  • [16] Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations
    Zhou, Wen-Xue
    Liu, Xu
    Zhang, Jian-Gang
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [17] Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations
    Wen-Xue Zhou
    Xu Liu
    Jian-Gang Zhang
    [J]. Advances in Difference Equations, 2015
  • [18] Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay
    Shengli Xie
    [J]. Fractional Calculus and Applied Analysis, 2014, 17 : 1158 - 1174
  • [19] Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay
    Xie, Shengli
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (04) : 1158 - 1174
  • [20] EXISTENCE RESULTS OF HILFER INTEGRO-DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER
    Subashini, Ramasamy
    Ravichandran, Chokkalingam
    Jothimani, Kasthurisamy
    Baskonus, Haci Mehmet
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 911 - 923
12345