On Nonlinear Fractional Integro-Differential Equations with Positive Constant Coefficient

被引:9
|
作者
Tate, Shivaji [1 ]
Kharat, V. V. [2 ]
Dinde, H. T. [3 ]
机构
[1] Kisan Veer Mahavidyalaya, Dept Math, Wai 412803, Maharashtra, India
[2] NB Navale Sinhgad Coll Engn Kegaon, Dept Math, Solapur 413255, Maharashtra, India
[3] Karmaveer Bhaurao Patil Coll, Dept Math, Urun Islampur 415409, Maharashtra, India
关键词
Fractional integro-differential equation; existence of solution; continuous dependence; fixed point theorem; Pachpatte's inequality; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM;
D O I
10.1007/s00009-019-1325-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this study is to investigate the existence and other properties of solution of nonlinear fractional integro-differential equations with constant coefficient. Also with the help of Pachpatte's inequality, we prove the continuous dependence of the solutions.
引用
收藏
页数:20
相关论文
共 50 条
  • [1] On Nonlinear Mixed Fractional Integro-Differential Equations with Positive Constant Coefficient
    Tate, Shivaji
    Kharat, V. V.
    Dinde, H. T.
    [J]. FILOMAT, 2019, 33 (17) : 5623 - 5638
  • [2] On Nonlinear Fractional Integro–Differential Equations with Positive Constant Coefficient
    Shivaji Tate
    V. V. Kharat
    H. T. Dinde
    [J]. Mediterranean Journal of Mathematics, 2019, 16
  • [3] Existence of solutions for nonlinear fractional integro-differential equations
    Ahmed Bragdi
    Assia Frioui
    Assia Guezane Lakoud
    [J]. Advances in Difference Equations, 2020
  • [4] Existence of solutions for nonlinear fractional integro-differential equations
    Bragdi, Ahmed
    Frioui, Assia
    Lakoud, Assia Guezane
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [5] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Bashir Ahmad
    Ahmed Alsaedi
    [J]. Boundary Value Problems, 2012
  • [6] Cauchy problem for nonlinear fractional differential equations with positive constant coefficient
    Peng S.
    Wang J.
    [J]. J. Appl. Math. Comp., 1-2 (341-351): : 341 - 351
  • [7] Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
    Ahmad, Bashir
    Alsaedi, Ahmed
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [8] Nonlinear Integro-Differential Equations
    Mahdavi, S.
    Kajani, M. Tavassoli
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2010, 4 (02) : 107 - 117
  • [9] On the Nonlinear Integro-Differential Equations
    Li, Chenkuan
    Beaudin, Joshua
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [10] On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations
    Li, Chenkuan
    Saadati, Reza
    Srivastava, Rekha
    Beaudin, Joshua
    [J]. MATHEMATICS, 2022, 10 (12)