Fractional Functional Impulsive Differential Equation with Integral Boundary Condition

被引:0
|
作者
Gupta, Vidushi [1 ]
Dabas, Jaydev [1 ]
机构
[1] IIT Roorkee, Dept Appl Sci & Engn, Saharanpur Campus, Saharanpur 247001, India
关键词
Fractional order differential equation; Impulsive conditions; Boundary value problem; Fixed point theorems;
D O I
10.1007/978-81-322-2485-3_34
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we discuss the existence and uniqueness of solution for fractional order differential equation with integral boundary condition and fractional impulsive conditions. In our problem delay also include with finite domain. Some important fixed point theorems are the main tools to establish the existence and uniqueness results for the solution of the problem.
引用
收藏
页码:417 / 428
页数:12
相关论文
共 50 条
  • [41] Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition
    Chauhan, Archana
    Dabas, Jaydev
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (04) : 821 - 829
  • [42] Existence and Uniqueness Theorems for a Fractional Differential Equation with Impulsive Effect under Band-Like Integral Boundary Conditions
    Gao, Zihan
    Hu, Tianlin
    Pang, Huihui
    ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
  • [43] Existence and Uniqueness Results for a Class of Fractional Differential Equations with an Integral Fractional Boundary Condition
    Ahmadkhanlu, Asghar
    FILOMAT, 2017, 31 (05) : 1241 - 1249
  • [44] Hilfer fractional differential inclusions with Erdelyi-Kober fractional integral boundary condition
    Lachouri, Adel
    Abdo, Mohammed S.
    Ardjouni, Abdelouaheb
    Abdalla, Bahaaeldin
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [45] Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition
    Adel Lachouri
    Mohammed S. Abdo
    Abdelouaheb Ardjouni
    Bahaaeldin Abdalla
    Thabet Abdeljawad
    Advances in Difference Equations, 2021
  • [46] On Functional Equation Mixed q-Fractional Integral and Fractional Derivative with q-Integral Condition
    Ahmed, Reda Gamal
    El-Sayed, Ahmed M. A.
    Alrashdi, Muhanna Ali H.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
  • [47] EXISTENCE, UNIQUENESS AND HYERS-ULAM-RASSIAS STABILITY OF IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH BOUNDARY CONDITION
    Malar, K.
    Gowrisankar, C.
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (5-6): : 1089 - 1103
  • [48] Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
    Bouaouid, Mohamed
    Hilal, Khalid
    Hannabou, Mohamed
    JOURNAL OF APPLIED ANALYSIS, 2021, 27 (02) : 187 - 197
  • [49] EXISTENCE OF SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE AND FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Nain, Ankit Kumar
    Vats, Ramesh Kumar
    Verma, Sachin Kumar
    Sihag, Vizendar
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 75 - 84
  • [50] Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
    Zhanbing Bai
    Xiaoyu Dong
    Chun Yin
    Boundary Value Problems, 2016