Existence and controllability of fractional semilinear mixed Volterra-Fredholm integro differential equation

被引：5
|
作者：
Hussain, Sadam [1 ]
Sarwar, Muhammad [1 ]
Mlaiki, Nabil [2 ]
Azmi, Fatima [2 ]
机构：
[1] Univ Malakand, Dept Math, Dir Lower, Pakistan
[2] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 73卷
关键词：
Controllability; Volterra-Fredholm integro differential equation; Mild solution; Fixed point; APPROXIMATE CONTROLLABILITY; INTEGRODIFFERENTIAL-SYSTEMS; INCLUSIONS; MESHES;
D O I：
10.1016/j.aej.2023.04.029
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the existence of mild solution and controllability of fractional semilinear mixed Volterra-Fredholm integro differential equations of order 1 < c < 2 with nonlocal condi-tions are investigated. First we discuss the existence of mild solution and then controllability of the proposed system by using the concept of Banach fixed point theorem and semigroup theory. For the authenticity and applicability of the presented theory some examples are also provided. (c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
引用
收藏
页码：259 / 267
页数：9
相关论文
共 50 条
  • [1] Existence and controllability results for neutral fractional Volterra-Fredholm integro-differential equations
    Gunasekar, Tharmalingam
    Raghavendran, Prabakaran
    Santra, Shyam Sundar
    Sajid, Mohammad
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 34 (04): : 361 - 380
  • [2] Existence of Mild Solution for Mixed Volterra-Fredholm Integro Fractional Differential Equation with Non-instantaneous Impulses
    Borah, Jayanta
    Bora, Swaroop Nandan
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (01) : 185 - 196
  • [3] EXISTENCE RESULTS FOR SEMILINEAR MIXED VOLTERRA-FREDHOLM TYPE INTEGRO-DIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS
    Chandrasekaran, S.
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (11): : 1499 - 1508
  • [4] Application of artificial neural networks for existence and controllability in impulsive fractional Volterra-Fredholm integro-differential equations
    Raghavendran, Prabakaran
    Gunasekar, Tharmalingam
    Gochhait, Saikat
    [J]. Applied Mathematics in Science and Engineering, 2024, 32 (01):
  • [5] On the Hilfer Fractional Volterra-Fredholm Integro Differential Equations
    Ivaz, Karim
    Alasadi, Ismael
    Hamoud, Ahmed
    [J]. IAENG International Journal of Applied Mathematics, 2022, 52 (02)
  • [6] On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
    Ahmad, Naveed
    Abd Ullah
    Ullah, Aman
    Ahmad, Shabir
    Shah, Kamal
    Ahmad, Imtiaz
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) : 1827 - 1838
  • [7] Existence and uniqueness of solutions for nonlinear Volterra-Fredholm integro-differential equation of fractional order with boundary conditions
    Laadjal, Zaid
    Ma, Qing-Hua
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8215 - 8227
  • [8] Solvability of the fractional Volterra-Fredholm integro differential equation by hybridizable discontinuous Galerkin method
    Karaaslan, Mehmet Fatih
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (16) : 5626 - 5634
  • [9] ANALYSIS OF A NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
    Aissaoui, M. Z.
    Bounaya, M. C.
    Guebbai, H.
    [J]. QUAESTIONES MATHEMATICAE, 2022, 45 (02) : 307 - 325
  • [10] Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order 1 &lt; r &lt; 2
    Kavitha Williams, W.
    Vijayakumar, V.
    Udhayakumar, R.
    Panda, Sumati Kumari
    Nisar, Kottakkaran Sooppy
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (01)
12345