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
  • [41] Existence and data-dependence theorems for fractional impulsive integro-differential system
    Khan, Hasib
    Khan, Zareen A.
    Tajadodi, Haleh
    Khan, Aziz
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [42] A SINGULAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION
    Shabibi, M.
    Rezapour, Sh.
    Vaezpour, S. M.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (01): : 109 - 118
  • [43] EXISTENCE AND UNIQUENESS RESULTS FOR ψ-FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS
    Vivek, Devaraj
    Elsayed, E. M.
    Kanagarajan, Kuppusamy
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2020, 107 (121): : 145 - 155
  • [44] EXISTENCE OF SOLUTIONS FOR SEMILINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
    Zhu, Jianbo
    FIXED POINT THEORY, 2023, 24 (02): : 787 - 804
  • [45] Controllability analysis for impulsive integro-differential equation via Atangana-Baleanu fractional derivative
    Kaliraj, Kalimuthu
    Thilakraj, Elumalai
    Ravichandran, Chokkalingam
    Sooppy Nisar, Kottakkaran
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021,
  • [46] Impulsive integro-differential systems involving conformable fractional derivative in Banach space
    Kataria, Haribhai R.
    Patel, Prakashkumar H.
    Shah, Vishant
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (01) : 56 - 64
  • [47] A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces
    Chasreechai, Saowaluck
    Poornima, Sadhasivam
    Karthikeyann, Panjaiyan
    Karthikeyan, Kulandhaivel
    Kumar, Anoop
    Kaushik, Kirti
    Sitthiwirattham, Thanin
    AIMS MATHEMATICS, 2024, 9 (05): : 11468 - 11485
  • [48] Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales
    Kumar, Vipin
    Malik, Muslim
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (01) : 211 - 231
  • [49] Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems
    Debbouche, Amar
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [50] EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
    Yan, Zuomao
    Lu, Fangxia
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (03): : 329 - 346
12345