Existence results of noninstantaneous impulsive fractional integro-differential equation

被引：9
|
作者：
Kataria, Haribhai R. [1 ]
Patel, Prakashkumar H. [1 ]
Shah, Vishant [2 ]
机构：
[1] Maharaja Sayajirao Univ Baroda, Dept Math, Fac Sci, Vadodara 390001, India
[2] Maharaja Sayajirao Univ Baroda, Dept Appl Math, Fac Technol & Engn, Vadodara 390001, India
来源：
DEMONSTRATIO MATHEMATICA | 2020年 / 53卷 / 01期
关键词：
fractional integro-differential equation; semigroup; noninstantaneous impulses; fixed point theorem; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM; MILD SOLUTION; UNIQUENESS;
D O I：
10.1515/dema-2020-0029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Existence of mild solution for noninstantaneous impulsive fractional order integro-differential equations with local and nonlocal conditions in Banach space is established in this paper. Existence results with local and nonlocal conditions are obtained through operator semigroup theory using generalized Banach contraction theorem and Krasnoselskii's fixed point theorem, respectively. Finally, illustrations are added to validate derived results.
引用
收藏
页码：373 / 384
页数：12
相关论文
共 50 条
  • [21] Existence of Nonnegative Solutions for a Fractional Integro-Differential Equation
    Johnny Henderson
    Rodica Luca
    Results in Mathematics, 2017, 72 : 747 - 763
  • [22] EXISTENCE RESULTS FOR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH INTEGRAL CONDITIONS OF KATUGAMPOLA TYPE
    Karthikeyan, P.
    Venkatachalam, K.
    Abbas, S.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2021, 90 (04): : 421 - 436
  • [23] Existence and Ulam-Hyers Stability Results for a Class of Fractional Integro-Differential Equations Involving Nonlocal Fractional Integro-Differential Boundary Conditions
    Haddouchi, Faouzi
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
  • [24] Existence results for hybrid fractional integro-differential equations
    Sitho, Surang
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 13
  • [25] Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions
    Sudsutad, Weerawat
    Thaiprayoon, Chatthai
    Ntouyas, Sotiris K.
    AIMS MATHEMATICS, 2021, 6 (04): : 4119 - 4141
  • [26] 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
  • [27] Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces
    Chalishajar, Dimplekumar
    Ravichandran, Chokkalingam
    Dhanalakshmi, Shanmugam
    Murugesu, Rangasamy
    APPLIED SYSTEM INNOVATION, 2019, 2 (02) : 1 - 17
  • [28] Existence of the Mild Solution to Impulsive Nonlocal Fractional Integro-Differential Equations
    Kumar S.
    Chadha A.
    Rohila R.
    International Journal of Applied and Computational Mathematics, 2024, 10 (1)
  • [29] On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions
    Alruwaily, Ymnah
    Venkatachalam, Kuppusamy
    El-hady, El-sayed
    FRACTAL AND FRACTIONAL, 2024, 8 (04)
  • [30] Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations
    Wen-Xue Zhou
    Xu Liu
    Jian-Gang Zhang
    Advances in Difference Equations, 2015
12345