Neumann method for solving conformable fractional Volterra integral equations

被引：5
|
作者：
Ilie, Mousa [1 ]
Biazar, Jafar [2 ]
Ayati, Zainab [3 ]
机构：
[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran
[2] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Guilan, Rasht, Iran
[3] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2020年 / 8卷 / 01期
关键词：
Volterra integral equations; Conformable fractional derivative; Neumann method; Existence; uniqueness; sufficient condition of convergence; KLEIN-GORDON EQUATIONS; CALCULUS;
D O I：
10.22034/cmde.2019.9498
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the solution of a class of Volterra integral equations in the sense of the conformable fractional derivative. For this goal, the well-organized Neumann method is developed and some theorems related to existence, uniqueness, and sufficient condition of convergence are presented. Some illustrative examples are provided to demonstrate the efficiency of the method in solving conformable fractional Volterra integral equations.
引用
收藏
页码：54 / 68
页数：15
相关论文
共 50 条
  • [1] A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations
    Ma, Xiao-Jing
    Srivastava, H. M.
    Baleanu, Dumitru
    Yang, Xiao-Jun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [2] Existence of resolvent for conformable fractional Volterra integral equations
    Younus, Awais
    Bukhsh, Khizra
    Tunc, Cemil
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (01): : 372 - 393
  • [3] The first integral method for solving some conformable fractional differential equations
    Ilie, Mousa
    Biazar, Jafar
    Ayati, Zainab
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (02)
  • [4] The first integral method for solving some conformable fractional differential equations
    Mousa Ilie
    Jafar Biazar
    Zainab Ayati
    Optical and Quantum Electronics, 2018, 50
  • [5] AN OPERATIONAL HAAR WAVELET METHOD FOR SOLVING FRACTIONAL VOLTERRA INTEGRAL EQUATIONS
    Saeedi, Habibollah
    Mollahasani, Nasibeh
    Moghadam, Mahmoud Mohseni
    Chuev, Gennady N.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (03) : 535 - 547
  • [6] An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations
    Mohammad, Mutaz
    Trounev, Alexander
    Cattani, Carlo
    ENTROPY, 2020, 22 (08)
  • [7] SOLVING NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS OF SECOND KIND BY THE ADOMIAN METHOD
    Seny, Ouedraogo
    Loufouilou, Justin Mouyedo
    Joseph, Bonazebi Yindoula
    Pare, Youssouf
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2022, 29 (01): : 97 - 110
  • [8] Meshless Method for Solving the Conformable Fractional Maxwell Equations
    Thotakul, Kan
    Luadsong, Anirut
    Aschariyaphotha, Nitima
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (02): : 261 - 281
  • [9] Fractional differential transform method for solving a class of weakly singular Volterra integral equations
    Rahimi, E.
    Taghvafard, H.
    Erjaee, G. H.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2014, 38 (A1): : 69 - 73
  • [10] A STARTING METHOD FOR SOLVING NONLINEAR VOLTERRA INTEGRAL EQUATIONS
    DAY, JT
    MATHEMATICS OF COMPUTATION, 1967, 21 (98) : 179 - &
12345